Least Common Multiple of 678, 869, 280, 380, 462

Q: How to Find the LCM of 678, 869, 280, 380, 462 ?

Least Common Multiple of 678, 869, 280, 380, 462 = 1567224120 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(678, 869, 280, 380, 462) = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 19 x 79 x 113 = 1567224120.

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 678, 869, 280, 380, 462 i.e. 1567224120 smallest integer divisible by all numbers.

Least common multiple (LCM) of 678, 869, 280, 380, 462 is 1567224120.

LCM(678, 869, 280, 380, 462) = 1567224120

LCM of 678, 869, 280, 380, 462

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

Least Common Multiple of 678, 869, 280, 380, 462 by common division method
Least Common Multiple of 678, 869, 280, 380, 462 with GCF Formula

Least Common Multiple of 678,869,280,380,462

Least Common Multiple (LCM) of 678,869,280,380,462 is 1567224120

2	678, 869, 280, 380, 462
2	339, 869, 140, 190, 231
3	339, 869, 70, 95, 231
5	113, 869, 70, 95, 77
7	113, 869, 14, 19, 77
11	113, 869, 2, 19, 11
	113, 79, 2, 19, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 7 x 11 x 113 x 79 x 2 x 19 x 1 = 1567224120

Least Common Multiple of 678,869,280,380,462 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 678,869,280,380,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(678,869,280,380,462) = 1

common factors(in case of two or more numbers have common factors) = 18480

GCF(678,869,280,380,462) x common factors =1 x 18480 = 18480

LCM(678,869,280,380,462) = ( 678 × 869 × 280 × 380 × 462 ) / 18480

LCM(678,869,280,380,462) = 28962301737600 / 18480

LCM(678,869,280,380,462) = 1567224120

∴ Least Common Multiple of 678,869,280,380,462 is 1567224120

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 678, 869, 280, 380, 462

1. What is the LCM of 678, 869, 280, 380, 462?

Answer: LCM of 678, 869, 280, 380, 462 is 1567224120.

2. What are the Factors of 1567224120?

Answer: Factors of 1567224120 are . There are integers that are factors of 1567224120

3. How to Find the LCM of 678, 869, 280, 380, 462 ?

Least Common Multiple of 678, 869, 280, 380, 462.

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(678, 869, 280, 380, 462) = 2 x 2 x 2 x 3 x 5 x 7 x 11 x 19 x 79 x 113 = 1567224120.