Least Common Multiple of 763/77, 2167/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/77, 2167/121 quickly i.e. 150311 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/77, 2167/121 is 150311.

LCM(763/77, 2167/121) = 150311

LCM of 763/77, 2167/121

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 763/77,2167/121

Given numbers are 763/77,2167/121

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 763,2167

Least Common Multiple of Numerators i.e. LCM of 763,2167 is 1653421.

GCF of Denominators means GCF of 77,121 as per the given fractions.

GCF of 77,121 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,2167

LCM of Fractions 763/77,2167/121 is 150311

Given numbers has no common factors except 1. So, there LCM is their product i.e 1653421

Least Common Multiple of 763,2167 with GCF Formula

Least Common Multiple of 763,2167 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 763,2167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,2167) = 1

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

GCF(763,2167) x common factors =1 x 1 = 1

LCM(763,2167) = ( 763 × 2167 ) / 1

LCM(763,2167) = 1653421 / 1

LCM(763,2167) = 1653421


Lets's calculate GCF of 77,121

11 77, 121
7, 11

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1653421/11

Therefore the LCM of Fractions 763/77,2167/121 is 150311

Greatest Common Factor of 77,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,121 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 77,121 . The biggest common factor number is the GCF number.
So the greatest common factor 77,121 is 11.


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 763/77, 2167/121

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 763/77, 2167/121?

Answer: LCM of Numerators as per given numbers 763/77, 2167/121 is

LCM of Numerators i.e. for 763,2167 is 1653421

GCF of denominators i.e. for 77,121 is 11.

Thus, LCM of Fractions is 150311.Finally, LCM of Fractions for 763/77, 2167/121 is 150311.