Least Common Multiple of 95/680, 686/387, 226/689

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 95/680, 686/387, 226/689 quickly i.e. 7364210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 95/680, 686/387, 226/689 is 7364210.

LCM(95/680, 686/387, 226/689) = 7364210

LCM of 95/680, 686/387, 226/689

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 95/680,686/387,226/689

Given numbers are 95/680,686/387,226/689

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 95,686,226

Least Common Multiple of Numerators i.e. LCM of 95,686,226 is 7364210.

GCF of Denominators means GCF of 680,387,689 as per the given fractions.

GCF of 680,387,689 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 95,686,226

LCM of Fractions 95/680,686/387,226/689 is 7364210

2 95, 686, 226
95, 343, 113

∴ So the LCM of the given numbers is 2 x 95 x 343 x 113 = 7364210

Least Common Multiple of 95,686,226 with GCF Formula

Least Common Multiple of 95,686,226 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 95,686,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,686,226) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(95,686,226) x common factors =1 x 2 = 2

LCM(95,686,226) = ( 95 × 686 × 226 ) / 2

LCM(95,686,226) = 14728420 / 2

LCM(95,686,226) = 7364210


Lets's calculate GCF of 680,387,689

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7364210/1

Therefore the LCM of Fractions 95/680,686/387,226/689 is 7364210

Greatest Common Factor of 680,387,689 By Matching Biggest Common Factor Method

Greatest Common Factor of 680,387,689 By Matching Biggest Common Factor Method

Factors of 680

List of positive integer factors of 680 that divides 680 without a remainder.

1,2,4,5,8,10,17,20,34,40,68,85,136,170,340,680

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Greatest Common Factor

We found the factors 680,387,689 . The biggest common factor number is the GCF number.
So the greatest common factor 680,387,689 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 95/680, 686/387, 226/689

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 95/680, 686/387, 226/689?

Answer: LCM of Numerators as per given numbers 95/680, 686/387, 226/689 is

LCM of Numerators i.e. for 95,686,226 is 7364210

GCF of denominators i.e. for 680,387,689 is 1.

Thus, LCM of Fractions is 7364210.Finally, LCM of Fractions for 95/680, 686/387, 226/689 is 7364210.