Question

Find lcm of 120 and 70 by fundamental theorem of arithmetic

Answer 1

120= 2×2×2×5×3
70= 2×5×7

HCF ( 120,70) = 2×5 =10

now,
LCM (120,70)=10×2×2×3×7
=840

Answer 2

Answer:

The LCM is 840

Step-by-step explanation:

Given two numbers 120 and 70

we have to find the LCM  by fundamental theorem of arithmetic.

The fundamental theorem of arithmetic, the unique-prime-factorization theorem states that every integer greater than 1 either is prime number or itself can be represented as the product of prime numbers.

$120=2\times 2\times 2\times 3\times 5=2^3\times 3\times 5$

$70=2\times 5\times 7$

$LCM(120,70)=2^3\times 3\times 5\times 7=840$

Hence, the LCM is 840