Least Common Multiple of 74, 31, 432, 972

Q: How to Find the LCM of 74, 31, 432, 972 ?

Least Common Multiple of 74, 31, 432, 972 = 4459536 Step 1: Divide all the numbers with common prime numbers having remainder zero. Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(74, 31, 432, 972) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 31 x 37 = 4459536.

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 74, 31, 432, 972 i.e. 4459536 smallest integer divisible by all numbers.

Least common multiple (LCM) of 74, 31, 432, 972 is 4459536.

LCM(74, 31, 432, 972) = 4459536

LCM of 74, 31, 432, 972

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

Least Common Multiple of 74, 31, 432, 972 by common division method
Least Common Multiple of 74, 31, 432, 972 with GCF Formula

Least Common Multiple of 74,31,432,972

Least Common Multiple (LCM) of 74,31,432,972 is 4459536

2	74, 31, 432, 972
2	37, 31, 216, 486
3	37, 31, 108, 243
3	37, 31, 36, 81
3	37, 31, 12, 27
	37, 31, 4, 9

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 37 x 31 x 4 x 9 = 4459536

Least Common Multiple of 74,31,432,972 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 74,31,432,972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,31,432,972) = 1

common factors(in case of two or more numbers have common factors) = 216

GCF(74,31,432,972) x common factors =1 x 216 = 216

LCM(74,31,432,972) = ( 74 × 31 × 432 × 972 ) / 216

LCM(74,31,432,972) = 963259776 / 216

LCM(74,31,432,972) = 4459536

∴ Least Common Multiple of 74,31,432,972 is 4459536

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 74, 31, 432, 972

1. What is the LCM of 74, 31, 432, 972?

Answer: LCM of 74, 31, 432, 972 is 4459536.

2. What are the Factors of 4459536?

Answer: Factors of 4459536 are . There are integers that are factors of 4459536

3. How to Find the LCM of 74, 31, 432, 972 ?

Least Common Multiple of 74, 31, 432, 972.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(74, 31, 432, 972) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 3 x 31 x 37 = 4459536.