HCF and LCM of 99,27 18,24,56 80,60,120
Answers
Answer:
908 is answer
Step-by-step explanation:
please follow me
Answer:
Write down all of the numbers as a product of their prime factors:
Listing multiples is a brute force method. It may be useful in special cases, e.g. if the numbers are relatively small.
#1 Make a list of the multiples of each number, until you find the first common multiple of all the numbers:
• Multiples of 99: 99, 198, 297, 396, 495, 594, 693, 792, 891, ..., 82665, 82764, 82863, 82962, 83061, 83160, 83259, 83358, 83457, 83556, ..., 165825, 165924, 166023, 166122, 166221, 166320, 166419, 166518, 166617, 166716 ...
• Multiples of 27: 27, 54, 81, 108, 135, 162, 189, 216, 243, ..., 83025, 83052, 83079, 83106, 83133, 83160, 83187, 83214, 83241, 83268, ..., 166185, 166212, 166239, 166266, 166293, 166320, 166347, 166374, 166401, 166428 ...
• Multiples of 18: 18, 36, 54, 72, 90, 108, 126, 144, 162, ..., 83070, 83088, 83106, 83124, 83142, 83160, 83178, 83196, 83214, 83232, ..., 166230, 166248, 166266, 166284, 166302, 166320, 166338, 166356, 166374, 166392 ...
• Multiples of 24: 24, 48, 72, 96, 120, 144, 168, 192, 216, ..., 83040, 83064, 83088, 83112, 83136, 83160, 83184, 83208, 83232, 83256, ..., 166200, 166224, 166248, 166272, 166296, 166320, 166344, 166368, 166392, 166416 ...
• Multiples of 56: 56, 112, 168, 224, 280, 336, 392, 448, 504, ..., 82880, 82936, 82992, 83048, 83104, 83160, 83216, 83272, 83328, 83384, ..., 166040, 166096, 166152, 166208, 166264, 166320, 166376, 166432, 166488, 166544 ...
• Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, ..., 82800, 82880, 82960, 83040, 83120, 83200, 83280, 83360, 83440, 83520, ..., 165920, 166000, 166080, 166160, 166240, 166320, 166400, 166480, 166560, 166640 ...
• Multiples of 60: 60, 120, 180, 240, 300, 360, 420, 480, 540, ..., 82860, 82920, 82980, 83040, 83100, 83160, 83220, 83280, 83340, 83400, ..., 166020, 166080, 166140, 166200, 166260, 166320, 166380, 166440, 166500, 166560 ...
• Multiples of 120: 120, 240, 360, 480, 600, 720, 840, 960, 1080, ..., 82560, 82680, 82800, 82920, 83040, 83160, 83280, 83400, 83520, 83640, ..., 165720, 165840, 165960, 166080, 166200, 166320, 166440, 166560, 166680, 166800 ..
lcm = 166320
Write down all of the factors for all of the numbers:
• The factors of 99 are: 1, 3, 9, 11, 33, 99
• The factors of 27 are: 1, 3, 9, 27
• The factors of 18 are: 1, 2, 3, 6, 9, 18
• The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
• The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56
• The factors of 80 are: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80
• The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
• The factors of 120 are: 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
#2 List all common factors: 1
#3 The highest Common Factor is the largest of these numbers. For 99, 27, 18, 24, 56, 80, 60 and 120, it is: 1
hcf = 1