Least Common Multiple of 377/86, 542/6801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/86, 542/6801 quickly i.e. 204334 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/86, 542/6801 is 204334.

LCM(377/86, 542/6801) = 204334

LCM of 377/86, 542/6801

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 377/86,542/6801

Given numbers are 377/86,542/6801

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 377,542

Least Common Multiple of Numerators i.e. LCM of 377,542 is 204334.

GCF of Denominators means GCF of 86,6801 as per the given fractions.

GCF of 86,6801 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,542

LCM of Fractions 377/86,542/6801 is 204334

Given numbers has no common factors except 1. So, there LCM is their product i.e 204334

Least Common Multiple of 377,542 with GCF Formula

Least Common Multiple of 377,542 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 377,542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,542) = 1

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

GCF(377,542) x common factors =1 x 1 = 1

LCM(377,542) = ( 377 × 542 ) / 1

LCM(377,542) = 204334 / 1

LCM(377,542) = 204334


Lets's calculate GCF of 86,6801

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204334/1

Therefore the LCM of Fractions 377/86,542/6801 is 204334

Greatest Common Factor of 86,6801 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,6801 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 6801

List of positive integer factors of 6801 that divides 6801 without a remainder.

1,3,2267,6801

Greatest Common Factor

We found the factors 86,6801 . The biggest common factor number is the GCF number.
So the greatest common factor 86,6801 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 377/86, 542/6801

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 377/86, 542/6801?

Answer: LCM of Numerators as per given numbers 377/86, 542/6801 is

LCM of Numerators i.e. for 377,542 is 204334

GCF of denominators i.e. for 86,6801 is 1.

Thus, LCM of Fractions is 204334.Finally, LCM of Fractions for 377/86, 542/6801 is 204334.