Least Common Multiple of 631/685, 867/349, 777/125

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 631/685, 867/349, 777/125 quickly i.e. 141692943 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 631/685, 867/349, 777/125 is 141692943.

LCM(631/685, 867/349, 777/125) = 141692943

LCM of 631/685, 867/349, 777/125

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 631/685,867/349,777/125

Given numbers are 631/685,867/349,777/125

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 631,867,777

Least Common Multiple of Numerators i.e. LCM of 631,867,777 is 141692943.

GCF of Denominators means GCF of 685,349,125 as per the given fractions.

GCF of 685,349,125 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 631,867,777

LCM of Fractions 631/685,867/349,777/125 is 141692943

3 631, 867, 777
631, 289, 259

∴ So the LCM of the given numbers is 3 x 631 x 289 x 259 = 141692943

Least Common Multiple of 631,867,777 with GCF Formula

Least Common Multiple of 631,867,777 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 631,867,777 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(631,867,777) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(631,867,777) x common factors =1 x 3 = 3

LCM(631,867,777) = ( 631 × 867 × 777 ) / 3

LCM(631,867,777) = 425078829 / 3

LCM(631,867,777) = 141692943


Lets's calculate GCF of 685,349,125

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141692943/1

Therefore the LCM of Fractions 631/685,867/349,777/125 is 141692943

Greatest Common Factor of 685,349,125 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,349,125 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Factors of 125

List of positive integer factors of 125 that divides 125 without a remainder.

1,5,25,125

Greatest Common Factor

We found the factors 685,349,125 . The biggest common factor number is the GCF number.
So the greatest common factor 685,349,125 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 631/685, 867/349, 777/125

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 631/685, 867/349, 777/125?

Answer: LCM of Numerators as per given numbers 631/685, 867/349, 777/125 is

LCM of Numerators i.e. for 631,867,777 is 141692943

GCF of denominators i.e. for 685,349,125 is 1.

Thus, LCM of Fractions is 141692943.Finally, LCM of Fractions for 631/685, 867/349, 777/125 is 141692943.