Least Common Multiple of 771/863, 156/716, 419/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 771/863, 156/716, 419/123 quickly i.e. 16798548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 771/863, 156/716, 419/123 is 16798548.

LCM(771/863, 156/716, 419/123) = 16798548

LCM of 771/863, 156/716, 419/123

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 771/863,156/716,419/123

Given numbers are 771/863,156/716,419/123

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 771,156,419

Least Common Multiple of Numerators i.e. LCM of 771,156,419 is 16798548.

GCF of Denominators means GCF of 863,716,123 as per the given fractions.

GCF of 863,716,123 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 771,156,419

LCM of Fractions 771/863,156/716,419/123 is 16798548

3 771, 156, 419
257, 52, 419

∴ So the LCM of the given numbers is 3 x 257 x 52 x 419 = 16798548

Least Common Multiple of 771,156,419 with GCF Formula

Least Common Multiple of 771,156,419 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 771,156,419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(771,156,419) = 1

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

GCF(771,156,419) x common factors =1 x 3 = 3

LCM(771,156,419) = ( 771 × 156 × 419 ) / 3

LCM(771,156,419) = 50395644 / 3

LCM(771,156,419) = 16798548


Lets's calculate GCF of 863,716,123

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16798548/1

Therefore the LCM of Fractions 771/863,156/716,419/123 is 16798548

Greatest Common Factor of 863,716,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 863,716,123 By Matching Biggest Common Factor Method

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 716

List of positive integer factors of 716 that divides 716 without a remainder.

1,2,4,179,358,716

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 863,716,123 . The biggest common factor number is the GCF number.
So the greatest common factor 863,716,123 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 771/863, 156/716, 419/123

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 771/863, 156/716, 419/123?

Answer: LCM of Numerators as per given numbers 771/863, 156/716, 419/123 is

LCM of Numerators i.e. for 771,156,419 is 16798548

GCF of denominators i.e. for 863,716,123 is 1.

Thus, LCM of Fractions is 16798548.Finally, LCM of Fractions for 771/863, 156/716, 419/123 is 16798548.