Least Common Multiple of 3220/696, 1162/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3220/696, 1162/540 quickly i.e. 267260/12 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3220/696, 1162/540 is 267260/12.

LCM(3220/696, 1162/540) = 267260/12

LCM of 3220/696, 1162/540

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 3220/696,1162/540

Given numbers are 3220/696,1162/540

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 3220,1162

Least Common Multiple of Numerators i.e. LCM of 3220,1162 is 267260.

GCF of Denominators means GCF of 696,540 as per the given fractions.

GCF of 696,540 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3220,1162

LCM of Fractions 3220/696,1162/540 is 267260/12

2 3220, 1162
7 1610, 581
230, 83

∴ So the LCM of the given numbers is 2 x 7 x 230 x 83 = 267260

Least Common Multiple of 3220,1162 with GCF Formula

Least Common Multiple of 3220,1162 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 3220,1162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3220,1162) = 14

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

GCF(3220,1162) x common factors =14 x 1 = 14

LCM(3220,1162) = ( 3220 × 1162 ) / 14

LCM(3220,1162) = 3741640 / 14

LCM(3220,1162) = 267260


Lets's calculate GCF of 696,540

2 696, 540
2 348, 270
3 174, 135
58, 45

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267260/12

Therefore the LCM of Fractions 3220/696,1162/540 is 267260/12

Greatest Common Factor of 696,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 696,540 By Matching Biggest Common Factor Method

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 696,540 . The biggest common factor number is the GCF number.
So the greatest common factor 696,540 is 12.


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 3220/696, 1162/540

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 3220/696, 1162/540?

Answer: LCM of Numerators as per given numbers 3220/696, 1162/540 is

LCM of Numerators i.e. for 3220,1162 is 267260

GCF of denominators i.e. for 696,540 is 12.

Thus, LCM of Fractions is 267260/12.Finally, LCM of Fractions for 3220/696, 1162/540 is 267260/12.