Least Common Multiple of 76/167, 1978/1569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 76/167, 1978/1569 quickly i.e. 75164 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, 1978/1569 is 75164.

LCM(76/167, 1978/1569) = 75164

LCM of 76/167, 1978/1569

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 76/167,1978/1569

Given numbers are 76/167,1978/1569

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 76,1978

Least Common Multiple of Numerators i.e. LCM of 76,1978 is 75164.

GCF of Denominators means GCF of 167,1569 as per the given fractions.

GCF of 167,1569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 76,1978

LCM of Fractions 76/167,1978/1569 is 75164

2 76, 1978
38, 989

∴ So the LCM of the given numbers is 2 x 38 x 989 = 75164

Least Common Multiple of 76,1978 with GCF Formula

Least Common Multiple of 76,1978 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 76,1978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,1978) = 2

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

GCF(76,1978) x common factors =2 x 1 = 2

LCM(76,1978) = ( 76 × 1978 ) / 2

LCM(76,1978) = 150328 / 2

LCM(76,1978) = 75164


Lets's calculate GCF of 167,1569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75164/1

Therefore the LCM of Fractions 76/167,1978/1569 is 75164

Greatest Common Factor of 167,1569 By Matching Biggest Common Factor Method

Greatest Common Factor of 167,1569 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 1569

List of positive integer factors of 1569 that divides 1569 without a remainder.

1,3,523,1569

Greatest Common Factor

We found the factors 167,1569 . The biggest common factor number is the GCF number.
So the greatest common factor 167,1569 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, 1978/1569

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, 1978/1569?

Answer: LCM of Numerators as per given numbers 76/167, 1978/1569 is

LCM of Numerators i.e. for 76,1978 is 75164

GCF of denominators i.e. for 167,1569 is 1.

Thus, LCM of Fractions is 75164.Finally, LCM of Fractions for 76/167, 1978/1569 is 75164.