Least Common Multiple of 156/910, 270/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 156/910, 270/574 quickly i.e. 7020/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 156/910, 270/574 is 7020/14.

LCM(156/910, 270/574) = 7020/14

LCM of 156/910, 270/574

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 156/910,270/574

Given numbers are 156/910,270/574

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 156,270

Least Common Multiple of Numerators i.e. LCM of 156,270 is 7020.

GCF of Denominators means GCF of 910,574 as per the given fractions.

GCF of 910,574 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 156,270

LCM of Fractions 156/910,270/574 is 7020/14

2 156, 270
3 78, 135
26, 45

∴ So the LCM of the given numbers is 2 x 3 x 26 x 45 = 7020

Least Common Multiple of 156,270 with GCF Formula

Least Common Multiple of 156,270 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 156,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,270) = 6

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

GCF(156,270) x common factors =6 x 1 = 6

LCM(156,270) = ( 156 × 270 ) / 6

LCM(156,270) = 42120 / 6

LCM(156,270) = 7020


Lets's calculate GCF of 910,574

2 910, 574
7 455, 287
65, 41

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7020/14

Therefore the LCM of Fractions 156/910,270/574 is 7020/14

Greatest Common Factor of 910,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 910,574 By Matching Biggest Common Factor Method

Factors of 910

List of positive integer factors of 910 that divides 910 without a remainder.

1,2,5,7,10,13,14,26,35,65,70,91,130,182,455,910

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 910,574 . The biggest common factor number is the GCF number.
So the greatest common factor 910,574 is 14.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 156/910, 270/574

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 156/910, 270/574?

Answer: LCM of Numerators as per given numbers 156/910, 270/574 is

LCM of Numerators i.e. for 156,270 is 7020

GCF of denominators i.e. for 910,574 is 14.

Thus, LCM of Fractions is 7020/14.Finally, LCM of Fractions for 156/910, 270/574 is 7020/14.