Least Common Multiple of 76/167, 2062/3677

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/167, 2062/3677 quickly i.e. 78356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 76/167, 2062/3677 is 78356.

LCM(76/167, 2062/3677) = 78356

LCM of 76/167, 2062/3677

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 76/167,2062/3677

Given numbers are 76/167,2062/3677

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 76,2062

Least Common Multiple of Numerators i.e. LCM of 76,2062 is 78356.

GCF of Denominators means GCF of 167,3677 as per the given fractions.

GCF of 167,3677 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,2062

LCM of Fractions 76/167,2062/3677 is 78356

2 76, 2062
38, 1031

∴ So the LCM of the given numbers is 2 x 38 x 1031 = 78356

Least Common Multiple of 76,2062 with GCF Formula

Least Common Multiple of 76,2062 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 76,2062 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,2062) = 2

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

GCF(76,2062) x common factors =2 x 1 = 2

LCM(76,2062) = ( 76 × 2062 ) / 2

LCM(76,2062) = 156712 / 2

LCM(76,2062) = 78356


Lets's calculate GCF of 167,3677

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78356/1

Therefore the LCM of Fractions 76/167,2062/3677 is 78356

Greatest Common Factor of 167,3677 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,3677 By Matching Biggest Common Factor Method

Factors of 167

List of positive integer factors of 167 that divides 167 without a remainder.

1,167

Factors of 3677

List of positive integer factors of 3677 that divides 3677 without a remainder.

1,3677

Greatest Common Factor

We found the factors 167,3677 . The biggest common factor number is the GCF number.
So the greatest common factor 167,3677 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 76/167, 2062/3677

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 76/167, 2062/3677?

Answer: LCM of Numerators as per given numbers 76/167, 2062/3677 is

LCM of Numerators i.e. for 76,2062 is 78356

GCF of denominators i.e. for 167,3677 is 1.

Thus, LCM of Fractions is 78356.Finally, LCM of Fractions for 76/167, 2062/3677 is 78356.