Least Common Multiple of 138, 784, 792, 279, 745

Q: How to Find the LCM of 138, 784, 792, 279, 745 ?

Least Common Multiple of 138, 784, 792, 279, 745 = 41228454960 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(138, 784, 792, 279, 745) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 11 x 23 x 31 x 149 = 41228454960.

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 138, 784, 792, 279, 745 i.e. 41228454960 smallest integer divisible by all numbers.

Least common multiple (LCM) of 138, 784, 792, 279, 745 is 41228454960.

LCM(138, 784, 792, 279, 745) = 41228454960

LCM of 138, 784, 792, 279, 745

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

Least Common Multiple of 138, 784, 792, 279, 745 by common division method
Least Common Multiple of 138, 784, 792, 279, 745 with GCF Formula

Least Common Multiple of 138,784,792,279,745

Least Common Multiple (LCM) of 138,784,792,279,745 is 41228454960

2	138, 784, 792, 279, 745
2	69, 392, 396, 279, 745
2	69, 196, 198, 279, 745
3	69, 98, 99, 279, 745
3	23, 98, 33, 93, 745
	23, 98, 11, 31, 745

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 23 x 98 x 11 x 31 x 745 = 41228454960

Least Common Multiple of 138,784,792,279,745 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 138,784,792,279,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(138,784,792,279,745) = 1

common factors(in case of two or more numbers have common factors) = 432

GCF(138,784,792,279,745) x common factors =1 x 432 = 432

LCM(138,784,792,279,745) = ( 138 × 784 × 792 × 279 × 745 ) / 432

LCM(138,784,792,279,745) = 17810692542720 / 432

LCM(138,784,792,279,745) = 41228454960

∴ Least Common Multiple of 138,784,792,279,745 is 41228454960

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 138, 784, 792, 279, 745

1. What is the LCM of 138, 784, 792, 279, 745?

Answer: LCM of 138, 784, 792, 279, 745 is 41228454960.

2. What are the Factors of 41228454960?

Answer: Factors of 41228454960 are . There are integers that are factors of 41228454960

3. How to Find the LCM of 138, 784, 792, 279, 745 ?

Least Common Multiple of 138, 784, 792, 279, 745.

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(138, 784, 792, 279, 745) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 11 x 23 x 31 x 149 = 41228454960.