Least Common Multiple of 695/91, 588/29, 176/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 695/91, 588/29, 176/540 quickly i.e. 17981040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 695/91, 588/29, 176/540 is 17981040.

LCM(695/91, 588/29, 176/540) = 17981040

LCM of 695/91, 588/29, 176/540

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 695/91,588/29,176/540

Given numbers are 695/91,588/29,176/540

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 695,588,176

Least Common Multiple of Numerators i.e. LCM of 695,588,176 is 17981040.

GCF of Denominators means GCF of 91,29,540 as per the given fractions.

GCF of 91,29,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 695,588,176

LCM of Fractions 695/91,588/29,176/540 is 17981040

2 695, 588, 176
2 695, 294, 88
695, 147, 44

∴ So the LCM of the given numbers is 2 x 2 x 695 x 147 x 44 = 17981040

Least Common Multiple of 695,588,176 with GCF Formula

Least Common Multiple of 695,588,176 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 695,588,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,588,176) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(695,588,176) x common factors =1 x 4 = 4

LCM(695,588,176) = ( 695 × 588 × 176 ) / 4

LCM(695,588,176) = 71924160 / 4

LCM(695,588,176) = 17981040


Lets's calculate GCF of 91,29,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17981040/1

Therefore the LCM of Fractions 695/91,588/29,176/540 is 17981040

Greatest Common Factor of 91,29,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 91,29,540 By Matching Biggest Common Factor Method

Factors of 91

List of positive integer factors of 91 that divides 91 without a remainder.

1,7,13,91

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

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 91,29,540 . The biggest common factor number is the GCF number.
So the greatest common factor 91,29,540 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 695/91, 588/29, 176/540

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 695/91, 588/29, 176/540?

Answer: LCM of Numerators as per given numbers 695/91, 588/29, 176/540 is

LCM of Numerators i.e. for 695,588,176 is 17981040

GCF of denominators i.e. for 91,29,540 is 1.

Thus, LCM of Fractions is 17981040.Finally, LCM of Fractions for 695/91, 588/29, 176/540 is 17981040.