Least Common Multiple of 13, 52, 45, 714

Q: How to Find the LCM of 13, 52, 45, 714 ?

Least Common Multiple of 13, 52, 45, 714 = 278460 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(13, 52, 45, 714) = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 278460.

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 13, 52, 45, 714 i.e. 278460 smallest integer divisible by all numbers.

Least common multiple (LCM) of 13, 52, 45, 714 is 278460.

LCM(13, 52, 45, 714) = 278460

LCM of 13, 52, 45, 714

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

Least Common Multiple of 13, 52, 45, 714 by common division method
Least Common Multiple of 13, 52, 45, 714 with GCF Formula

Least Common Multiple of 13,52,45,714

Least Common Multiple (LCM) of 13,52,45,714 is 278460

2	13, 52, 45, 714
3	13, 26, 45, 357
13	13, 26, 15, 119
	1, 2, 15, 119

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 2 x 15 x 119 = 278460

Least Common Multiple of 13,52,45,714 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 13,52,45,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,52,45,714) = 1

common factors(in case of two or more numbers have common factors) = 78

GCF(13,52,45,714) x common factors =1 x 78 = 78

LCM(13,52,45,714) = ( 13 × 52 × 45 × 714 ) / 78

LCM(13,52,45,714) = 21719880 / 78

LCM(13,52,45,714) = 278460

∴ Least Common Multiple of 13,52,45,714 is 278460

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 13, 52, 45, 714

1. What is the LCM of 13, 52, 45, 714?

Answer: LCM of 13, 52, 45, 714 is 278460.

2. What are the Factors of 278460?

Answer: Factors of 278460 are . There are integers that are factors of 278460

3. How to Find the LCM of 13, 52, 45, 714 ?

Least Common Multiple of 13, 52, 45, 714.

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(13, 52, 45, 714) = 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 = 278460.