Least Common Multiple of 77/565, 123/290, 143/841

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/565, 123/290, 143/841 quickly i.e. 123123 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/565, 123/290, 143/841 is 123123.

LCM(77/565, 123/290, 143/841) = 123123

LCM of 77/565, 123/290, 143/841

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 77/565,123/290,143/841

Given numbers are 77/565,123/290,143/841

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 77,123,143

Least Common Multiple of Numerators i.e. LCM of 77,123,143 is 123123.

GCF of Denominators means GCF of 565,290,841 as per the given fractions.

GCF of 565,290,841 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,123,143

LCM of Fractions 77/565,123/290,143/841 is 123123

11 77, 123, 143
7, 123, 13

∴ So the LCM of the given numbers is 11 x 7 x 123 x 13 = 123123

Least Common Multiple of 77,123,143 with GCF Formula

Least Common Multiple of 77,123,143 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 77,123,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,123,143) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(77,123,143) x common factors =1 x 11 = 11

LCM(77,123,143) = ( 77 × 123 × 143 ) / 11

LCM(77,123,143) = 1354353 / 11

LCM(77,123,143) = 123123


Lets's calculate GCF of 565,290,841

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123123/1

Therefore the LCM of Fractions 77/565,123/290,143/841 is 123123

Greatest Common Factor of 565,290,841 By Matching Biggest Common Factor Method

Greatest Common Factor of 565,290,841 By Matching Biggest Common Factor Method

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Factors of 290

List of positive integer factors of 290 that divides 290 without a remainder.

1,2,5,10,29,58,145,290

Factors of 841

List of positive integer factors of 841 that divides 841 without a remainder.

1,29,841

Greatest Common Factor

We found the factors 565,290,841 . The biggest common factor number is the GCF number.
So the greatest common factor 565,290,841 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 77/565, 123/290, 143/841

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 77/565, 123/290, 143/841?

Answer: LCM of Numerators as per given numbers 77/565, 123/290, 143/841 is

LCM of Numerators i.e. for 77,123,143 is 123123

GCF of denominators i.e. for 565,290,841 is 1.

Thus, LCM of Fractions is 123123.Finally, LCM of Fractions for 77/565, 123/290, 143/841 is 123123.