Least Common Multiple of 238, 780, 288, 874, 442

Q: How to Find the LCM of 238, 780, 288, 874, 442 ?

Least Common Multiple of 238, 780, 288, 874, 442 = 973496160 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(238, 780, 288, 874, 442) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 x 19 x 23 = 973496160.

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 238, 780, 288, 874, 442 i.e. 973496160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 238, 780, 288, 874, 442 is 973496160.

LCM(238, 780, 288, 874, 442) = 973496160

LCM of 238, 780, 288, 874, 442

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

Least Common Multiple of 238, 780, 288, 874, 442 by common division method
Least Common Multiple of 238, 780, 288, 874, 442 with GCF Formula

Least Common Multiple of 238,780,288,874,442

Least Common Multiple (LCM) of 238,780,288,874,442 is 973496160

2	238, 780, 288, 874, 442
2	119, 390, 144, 437, 221
3	119, 195, 72, 437, 221
13	119, 65, 24, 437, 221
17	119, 5, 24, 437, 17
	7, 5, 24, 437, 1

∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 17 x 7 x 5 x 24 x 437 x 1 = 973496160

Least Common Multiple of 238,780,288,874,442 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 238,780,288,874,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,780,288,874,442) = 2

common factors(in case of two or more numbers have common factors) = 10608

GCF(238,780,288,874,442) x common factors =2 x 10608 = 21216

LCM(238,780,288,874,442) = ( 238 × 780 × 288 × 874 × 442 ) / 21216

LCM(238,780,288,874,442) = 20653694530560 / 21216

LCM(238,780,288,874,442) = 973496160

∴ Least Common Multiple of 238,780,288,874,442 is 973496160

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 238, 780, 288, 874, 442

1. What is the LCM of 238, 780, 288, 874, 442?

Answer: LCM of 238, 780, 288, 874, 442 is 973496160.

2. What are the Factors of 973496160?

Answer: Factors of 973496160 are . There are integers that are factors of 973496160

3. How to Find the LCM of 238, 780, 288, 874, 442 ?

Least Common Multiple of 238, 780, 288, 874, 442.

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(238, 780, 288, 874, 442) = 2 x 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 x 19 x 23 = 973496160.