Least Common Multiple of 76/621, 819/664, 112/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/621, 819/664, 112/771 quickly i.e. 248976 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/621, 819/664, 112/771 is 248976.

LCM(76/621, 819/664, 112/771) = 248976

LCM of 76/621, 819/664, 112/771

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 76/621,819/664,112/771

Given numbers are 76/621,819/664,112/771

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 76,819,112

Least Common Multiple of Numerators i.e. LCM of 76,819,112 is 248976.

GCF of Denominators means GCF of 621,664,771 as per the given fractions.

GCF of 621,664,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,819,112

LCM of Fractions 76/621,819/664,112/771 is 248976

2 76, 819, 112
2 38, 819, 56
7 19, 819, 28
19, 117, 4

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 117 x 4 = 248976

Least Common Multiple of 76,819,112 with GCF Formula

Least Common Multiple of 76,819,112 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 76,819,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,819,112) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(76,819,112) x common factors =1 x 28 = 28

LCM(76,819,112) = ( 76 × 819 × 112 ) / 28

LCM(76,819,112) = 6971328 / 28

LCM(76,819,112) = 248976


Lets's calculate GCF of 621,664,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248976/1

Therefore the LCM of Fractions 76/621,819/664,112/771 is 248976

Greatest Common Factor of 621,664,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,664,771 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 621,664,771 . The biggest common factor number is the GCF number.
So the greatest common factor 621,664,771 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 76/621, 819/664, 112/771

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 76/621, 819/664, 112/771?

Answer: LCM of Numerators as per given numbers 76/621, 819/664, 112/771 is

LCM of Numerators i.e. for 76,819,112 is 248976

GCF of denominators i.e. for 621,664,771 is 1.

Thus, LCM of Fractions is 248976.Finally, LCM of Fractions for 76/621, 819/664, 112/771 is 248976.