Least Common Multiple of 760, 1456

Q: How to Find the LCM of 760, 1456 ?

Least Common Multiple of 760, 1456 = 138320 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(760, 1456) = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 19 = 138320.

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 760, 1456 i.e. 138320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 760, 1456 is 138320.

LCM(760, 1456) = 138320

LCM of 760, 1456

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

Least Common Multiple of 760, 1456 by common division method
Least Common Multiple of 760, 1456 with GCF Formula

Least Common Multiple of 760,1456

Least Common Multiple (LCM) of 760,1456 is 138320

2	760, 1456
2	380, 728
2	190, 364
	95, 182

∴ So the LCM of the given numbers is 2 x 2 x 2 x 95 x 182 = 138320

Least Common Multiple of 760,1456 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 760,1456 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(760,1456) = 8

common factors(in case of two or more numbers have common factors) = 1

GCF(760,1456) x common factors =8 x 1 = 8

LCM(760,1456) = ( 760 × 1456 ) / 8

LCM(760,1456) = 1106560 / 8

LCM(760,1456) = 138320

∴ Least Common Multiple of 760,1456 is 138320

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 760, 1456

1. What is the LCM of 760, 1456?

Answer: LCM of 760, 1456 is 138320.

2. What are the Factors of 138320?

Answer: Factors of 138320 are . There are integers that are factors of 138320

3. How to Find the LCM of 760, 1456 ?

Least Common Multiple of 760, 1456.

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(760, 1456) = 2 x 2 x 2 x 2 x 5 x 7 x 13 x 19 = 138320.