Least Common Multiple of 77/464, 114/687, 254/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/464, 114/687, 254/953 quickly i.e. 1114806 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/464, 114/687, 254/953 is 1114806.

LCM(77/464, 114/687, 254/953) = 1114806

LCM of 77/464, 114/687, 254/953

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 77/464,114/687,254/953

Given numbers are 77/464,114/687,254/953

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 77,114,254

Least Common Multiple of Numerators i.e. LCM of 77,114,254 is 1114806.

GCF of Denominators means GCF of 464,687,953 as per the given fractions.

GCF of 464,687,953 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,114,254

LCM of Fractions 77/464,114/687,254/953 is 1114806

2 77, 114, 254
77, 57, 127

∴ So the LCM of the given numbers is 2 x 77 x 57 x 127 = 1114806

Least Common Multiple of 77,114,254 with GCF Formula

Least Common Multiple of 77,114,254 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 77,114,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,114,254) = 1

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

GCF(77,114,254) x common factors =1 x 2 = 2

LCM(77,114,254) = ( 77 × 114 × 254 ) / 2

LCM(77,114,254) = 2229612 / 2

LCM(77,114,254) = 1114806


Lets's calculate GCF of 464,687,953

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1114806/1

Therefore the LCM of Fractions 77/464,114/687,254/953 is 1114806

Greatest Common Factor of 464,687,953 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,687,953 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 953

List of positive integer factors of 953 that divides 953 without a remainder.

1,953

Greatest Common Factor

We found the factors 464,687,953 . The biggest common factor number is the GCF number.
So the greatest common factor 464,687,953 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 77/464, 114/687, 254/953

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 77/464, 114/687, 254/953?

Answer: LCM of Numerators as per given numbers 77/464, 114/687, 254/953 is

LCM of Numerators i.e. for 77,114,254 is 1114806

GCF of denominators i.e. for 464,687,953 is 1.

Thus, LCM of Fractions is 1114806.Finally, LCM of Fractions for 77/464, 114/687, 254/953 is 1114806.