Least Common Multiple of 377/87, 601/78, 137/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 377/87, 601/78, 137/18 quickly i.e. 31041049/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 377/87, 601/78, 137/18 is 31041049/3.

LCM(377/87, 601/78, 137/18) = 31041049/3

LCM of 377/87, 601/78, 137/18

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 377/87,601/78,137/18

Given numbers are 377/87,601/78,137/18

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 377,601,137

Least Common Multiple of Numerators i.e. LCM of 377,601,137 is 31041049.

GCF of Denominators means GCF of 87,78,18 as per the given fractions.

GCF of 87,78,18 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 377,601,137

LCM of Fractions 377/87,601/78,137/18 is 31041049/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 31041049

Least Common Multiple of 377,601,137 with GCF Formula

Least Common Multiple of 377,601,137 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 377,601,137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(377,601,137) = 1

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

GCF(377,601,137) x common factors =1 x 1 = 1

LCM(377,601,137) = ( 377 × 601 × 137 ) / 1

LCM(377,601,137) = 31041049 / 1

LCM(377,601,137) = 31041049


Lets's calculate GCF of 87,78,18

3 87, 78, 18
29, 26, 6

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31041049/3

Therefore the LCM of Fractions 377/87,601/78,137/18 is 31041049/3

Greatest Common Factor of 87,78,18 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,78,18 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Greatest Common Factor

We found the factors 87,78,18 . The biggest common factor number is the GCF number.
So the greatest common factor 87,78,18 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 377/87, 601/78, 137/18

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 377/87, 601/78, 137/18?

Answer: LCM of Numerators as per given numbers 377/87, 601/78, 137/18 is

LCM of Numerators i.e. for 377,601,137 is 31041049

GCF of denominators i.e. for 87,78,18 is 3.

Thus, LCM of Fractions is 31041049/3.Finally, LCM of Fractions for 377/87, 601/78, 137/18 is 31041049/3.