find the LCM by division method of 40,80,100,120
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Answers
Answer:1200
Step-by-step explanation:
How to find LCM by Prime Factorization using ExponentsFind all the prime factors of each given number and write them in exponent form.List all the prime numbers found, using the highest exponent found for each.Multiply the list of prime factors with exponents together to find the LCM.Example: LCM(12,18,30)Prime factors of 12 = 2 × 2 × 3 = 22 × 31Prime factors of 18 = 2 × 3 × 3 = 21 × 32Prime factors of 30 = 2 × 3 × 5 = 21 × 31 × 51List all the prime numbers found, as many times as they occur most often for any one given number and multiply them together to find the LCM2 × 2 × 3 × 3 × 5 = 180Using exponents instead, multiply together each of the prime numbers with the highest power22 × 32 × 51 = 180So LCM(12,18,30) = 180Example: LCM(24,300)Prime factors of 24 = 2 × 2 × 2 × 3 = 23 × 31Prime factors of 300 = 2 × 2 × 3 × 5 × 5 = 22 × 31 × 52List all the prime numbers found, as many times as they occur most often for any one given number and multiply them together to find the LCM2 × 2 × 2 × 3 × 5 × 5 = 600Using exponents instead, multiply together each of the prime numbers with the highest power23 × 31 × 52 = 600So LCM(24,300) = 600