Find HCF and LCM of 42,30 and 36, 42, 24
Answers
Answer:
hcf = 6 lcm = 2520
Step-by-step explanation:
HCF = 6
for the values 24, 30, 36, 42, 42
The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24
The factors of 30 are: 1, 2, 3, 5, 6, 10, 15, 30
The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42
Then the greatest common factor is 6.
lcm
LCM = 2520
Multiples of 24:
24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128, 1152, 1176, 1200, 1224, 1248, 1272, 1296, 1320, 1344, 1368, 1392, 1416, 1440, 1464, 1488, 1512, 1536, 1560, 1584, 1608, 1632, 1656, 1680, 1704, 1728, 1752, 1776, 1800, 1824, 1848, 1872, 1896, 1920, 1944, 1968, 1992, 2016, 2040, 2064, 2088, 2112, 2136, 2160, 2184, 2208, 2232, 2256, 2280, 2304, 2328, 2352, 2376, 2400, 2424, 2448, 2472, 2496, 2520, 2544, 2568
Multiples of 30:
30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570, 600, 630, 660, 690, 720, 750, 780, 810, 840, 870, 900, 930, 960, 990, 1020, 1050, 1080, 1110, 1140, 1170, 1200, 1230, 1260, 1290, 1320, 1350, 1380, 1410, 1440, 1470, 1500, 1530, 1560, 1590, 1620, 1650, 1680, 1710, 1740, 1770, 1800, 1830, 1860, 1890, 1920, 1950, 1980, 2010, 2040, 2070, 2100, 2130, 2160, 2190, 2220, 2250, 2280, 2310, 2340, 2370, 2400, 2430, 2460, 2490, 2520, 2550, 2580
Multiples of 36:
36, 72, 108, 144, 180, 216, 252, 288, 324, 360, 396, 432, 468, 504, 540, 576, 612, 648, 684, 720, 756, 792, 828, 864, 900, 936, 972, 1008, 1044, 1080, 1116, 1152, 1188, 1224, 1260, 1296, 1332, 1368, 1404, 1440, 1476, 1512, 1548, 1584, 1620, 1656, 1692, 1728, 1764, 1800, 1836, 1872, 1908, 1944, 1980, 2016, 2052, 2088, 2124, 2160, 2196, 2232, 2268, 2304, 2340, 2376, 2412, 2448, 2484, 2520, 2556, 2592
Multiples of 42:
42, 84, 126, 168, 210, 252, 294, 336, 378, 420, 462, 504, 546, 588, 630, 672, 714, 756, 798, 840, 882, 924, 966, 1008, 1050, 1092, 1134, 1176, 1218, 1260, 1302, 1344, 1386, 1428, 1470, 1512, 1554, 1596, 1638, 1680, 1722, 1764, 1806, 1848, 1890, 1932, 1974, 2016, 2058, 2100, 2142, 2184, 2226, 2268, 2310, 2352, 2394, 2436, 2478, 2520, 2562, 2604
Therefore,
LCM(24, 30, 36, 42) = 2520
Answer:
A. HCF of 42 and 30
=> 42 = 30*1 + 12 (Euclid's division lemma)
=> 30 = 12*2 + 6
=> 12 = 6*2 + 0
∴ HCF of 42 and 30 is 6.
LCM of 42 and 30 => 210
B. HCF of 36, 42 and 24
=> 42 = 36*1 + 6
=> 36 = 6*6 + 0
So, HCF of 42 and 36 is 6.
Now, 24 = 6*4 + 0
∴ HCF of 42, 36 and 24 is 6.
LCM of 42, 36 and 24 is 504.