Least Common Multiple of 71/772, 134/399, 221/916

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/772, 134/399, 221/916 quickly i.e. 2102594 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/772, 134/399, 221/916 is 2102594.

LCM(71/772, 134/399, 221/916) = 2102594

LCM of 71/772, 134/399, 221/916

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 71/772,134/399,221/916

Given numbers are 71/772,134/399,221/916

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 71,134,221

Least Common Multiple of Numerators i.e. LCM of 71,134,221 is 2102594.

GCF of Denominators means GCF of 772,399,916 as per the given fractions.

GCF of 772,399,916 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,134,221

LCM of Fractions 71/772,134/399,221/916 is 2102594

Given numbers has no common factors except 1. So, there LCM is their product i.e 2102594

Least Common Multiple of 71,134,221 with GCF Formula

Least Common Multiple of 71,134,221 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 71,134,221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,134,221) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(71,134,221) x common factors =1 x 1 = 1

LCM(71,134,221) = ( 71 × 134 × 221 ) / 1

LCM(71,134,221) = 2102594 / 1

LCM(71,134,221) = 2102594


Lets's calculate GCF of 772,399,916

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2102594/1

Therefore the LCM of Fractions 71/772,134/399,221/916 is 2102594

Greatest Common Factor of 772,399,916 By Matching Biggest Common Factor Method

Greatest Common Factor of 772,399,916 By Matching Biggest Common Factor Method

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 399

List of positive integer factors of 399 that divides 399 without a remainder.

1,3,7,19,21,57,133,399

Factors of 916

List of positive integer factors of 916 that divides 916 without a remainder.

1,2,4,229,458,916

Greatest Common Factor

We found the factors 772,399,916 . The biggest common factor number is the GCF number.
So the greatest common factor 772,399,916 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 71/772, 134/399, 221/916

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 71/772, 134/399, 221/916?

Answer: LCM of Numerators as per given numbers 71/772, 134/399, 221/916 is

LCM of Numerators i.e. for 71,134,221 is 2102594

GCF of denominators i.e. for 772,399,916 is 1.

Thus, LCM of Fractions is 2102594.Finally, LCM of Fractions for 71/772, 134/399, 221/916 is 2102594.