Least Common Multiple of 936/253, 7020/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 936/253, 7020/338 quickly i.e. 14040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 936/253, 7020/338 is 14040.

LCM(936/253, 7020/338) = 14040

LCM of 936/253, 7020/338

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 936/253,7020/338

Given numbers are 936/253,7020/338

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 936,7020

Least Common Multiple of Numerators i.e. LCM of 936,7020 is 14040.

GCF of Denominators means GCF of 253,338 as per the given fractions.

GCF of 253,338 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 936,7020

LCM of Fractions 936/253,7020/338 is 14040

2 936, 7020
2 468, 3510
3 234, 1755
3 78, 585
13 26, 195
2, 15

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 13 x 2 x 15 = 14040

Least Common Multiple of 936,7020 with GCF Formula

Least Common Multiple of 936,7020 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 936,7020 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(936,7020) = 468

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

GCF(936,7020) x common factors =468 x 1 = 468

LCM(936,7020) = ( 936 × 7020 ) / 468

LCM(936,7020) = 6570720 / 468

LCM(936,7020) = 14040


Lets's calculate GCF of 253,338

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14040/1

Therefore the LCM of Fractions 936/253,7020/338 is 14040

Greatest Common Factor of 253,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 253,338 By Matching Biggest Common Factor Method

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 253,338 . The biggest common factor number is the GCF number.
So the greatest common factor 253,338 is 1.


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 936/253, 7020/338

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 936/253, 7020/338?

Answer: LCM of Numerators as per given numbers 936/253, 7020/338 is

LCM of Numerators i.e. for 936,7020 is 14040

GCF of denominators i.e. for 253,338 is 1.

Thus, LCM of Fractions is 14040.Finally, LCM of Fractions for 936/253, 7020/338 is 14040.