Least Common Multiple of 765, 265, 108, 768

Q: How to Find the LCM of 765, 265, 108, 768 ?

Least Common Multiple of 765, 265, 108, 768 = 31138560 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(765, 265, 108, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 53 = 31138560.

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 765, 265, 108, 768 i.e. 31138560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 765, 265, 108, 768 is 31138560.

LCM(765, 265, 108, 768) = 31138560

LCM of 765, 265, 108, 768

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

Least Common Multiple of 765, 265, 108, 768 by common division method
Least Common Multiple of 765, 265, 108, 768 with GCF Formula

Least Common Multiple of 765,265,108,768

Least Common Multiple (LCM) of 765,265,108,768 is 31138560

2	765, 265, 108, 768
2	765, 265, 54, 384
3	765, 265, 27, 192
3	255, 265, 9, 64
5	85, 265, 3, 64
	17, 53, 3, 64

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 17 x 53 x 3 x 64 = 31138560

Least Common Multiple of 765,265,108,768 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 765,265,108,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(765,265,108,768) = 1

common factors(in case of two or more numbers have common factors) = 540

GCF(765,265,108,768) x common factors =1 x 540 = 540

LCM(765,265,108,768) = ( 765 × 265 × 108 × 768 ) / 540

LCM(765,265,108,768) = 16814822400 / 540

LCM(765,265,108,768) = 31138560

∴ Least Common Multiple of 765,265,108,768 is 31138560

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 765, 265, 108, 768

1. What is the LCM of 765, 265, 108, 768?

Answer: LCM of 765, 265, 108, 768 is 31138560.

2. What are the Factors of 31138560?

Answer: Factors of 31138560 are . There are integers that are factors of 31138560

3. How to Find the LCM of 765, 265, 108, 768 ?

Least Common Multiple of 765, 265, 108, 768.

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(765, 265, 108, 768) = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3 x 5 x 17 x 53 = 31138560.