Least Common Multiple of 377/771, 5733/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/771, 5733/234 quickly i.e. 55419 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/771, 5733/234 is 55419.

LCM(377/771, 5733/234) = 55419

LCM of 377/771, 5733/234

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 377/771,5733/234

Given numbers are 377/771,5733/234

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 377,5733

Least Common Multiple of Numerators i.e. LCM of 377,5733 is 166257.

GCF of Denominators means GCF of 771,234 as per the given fractions.

GCF of 771,234 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,5733

LCM of Fractions 377/771,5733/234 is 55419

13 377, 5733
29, 441

∴ So the LCM of the given numbers is 13 x 29 x 441 = 166257

Least Common Multiple of 377,5733 with GCF Formula

Least Common Multiple of 377,5733 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 377,5733 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,5733) = 13

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

GCF(377,5733) x common factors =13 x 1 = 13

LCM(377,5733) = ( 377 × 5733 ) / 13

LCM(377,5733) = 2161341 / 13

LCM(377,5733) = 166257


Lets's calculate GCF of 771,234

3 771, 234
257, 78

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 166257/3

Therefore the LCM of Fractions 377/771,5733/234 is 55419

Greatest Common Factor of 771,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 771,234 By Matching Biggest Common Factor Method

Factors of 771

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

1,3,257,771

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 771,234 . The biggest common factor number is the GCF number.
So the greatest common factor 771,234 is 3.


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 377/771, 5733/234

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 377/771, 5733/234?

Answer: LCM of Numerators as per given numbers 377/771, 5733/234 is

LCM of Numerators i.e. for 377,5733 is 166257

GCF of denominators i.e. for 771,234 is 3.

Thus, LCM of Fractions is 55419.Finally, LCM of Fractions for 377/771, 5733/234 is 55419.