Least Common Multiple of 974, 671, 395, 675, 384

Q: How to Find the LCM of 974, 671, 395, 675, 384 ?

Least Common Multiple of 974, 671, 395, 675, 384 = 2230449091200 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(974, 671, 395, 675, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 61 x 79 x 487 = 2230449091200.

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 974, 671, 395, 675, 384 i.e. 2230449091200 smallest integer divisible by all numbers.

Least common multiple (LCM) of 974, 671, 395, 675, 384 is 2230449091200.

LCM(974, 671, 395, 675, 384) = 2230449091200

LCM of 974, 671, 395, 675, 384

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

Least Common Multiple of 974, 671, 395, 675, 384 by common division method
Least Common Multiple of 974, 671, 395, 675, 384 with GCF Formula

Least Common Multiple of 974,671,395,675,384

Least Common Multiple (LCM) of 974,671,395,675,384 is 2230449091200

2	974, 671, 395, 675, 384
3	487, 671, 395, 675, 192
5	487, 671, 395, 225, 64
	487, 671, 79, 45, 64

∴ So the LCM of the given numbers is 2 x 3 x 5 x 487 x 671 x 79 x 45 x 64 = 2230449091200

Least Common Multiple of 974,671,395,675,384 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 974,671,395,675,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(974,671,395,675,384) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(974,671,395,675,384) x common factors =1 x 30 = 30

LCM(974,671,395,675,384) = ( 974 × 671 × 395 × 675 × 384 ) / 30

LCM(974,671,395,675,384) = 66913472736000 / 30

LCM(974,671,395,675,384) = 2230449091200

∴ Least Common Multiple of 974,671,395,675,384 is 2230449091200

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 974, 671, 395, 675, 384

1. What is the LCM of 974, 671, 395, 675, 384?

Answer: LCM of 974, 671, 395, 675, 384 is 2230449091200.

2. What are the Factors of 2230449091200?

Answer: Factors of 2230449091200 are . There are integers that are factors of 2230449091200

3. How to Find the LCM of 974, 671, 395, 675, 384 ?

Least Common Multiple of 974, 671, 395, 675, 384.

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(974, 671, 395, 675, 384) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 11 x 61 x 79 x 487 = 2230449091200.