Least Common Multiple of 379/54, 634/62, 737/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/54, 634/62, 737/30 quickly i.e. 88545391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/54, 634/62, 737/30 is 88545391.

LCM(379/54, 634/62, 737/30) = 88545391

LCM of 379/54, 634/62, 737/30

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 379/54,634/62,737/30

Given numbers are 379/54,634/62,737/30

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 379,634,737

Least Common Multiple of Numerators i.e. LCM of 379,634,737 is 177090782.

GCF of Denominators means GCF of 54,62,30 as per the given fractions.

GCF of 54,62,30 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,634,737

LCM of Fractions 379/54,634/62,737/30 is 88545391

Given numbers has no common factors except 1. So, there LCM is their product i.e 177090782

Least Common Multiple of 379,634,737 with GCF Formula

Least Common Multiple of 379,634,737 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 379,634,737 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,634,737) = 1

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

GCF(379,634,737) x common factors =1 x 1 = 1

LCM(379,634,737) = ( 379 × 634 × 737 ) / 1

LCM(379,634,737) = 177090782 / 1

LCM(379,634,737) = 177090782


Lets's calculate GCF of 54,62,30

2 54, 62, 30
27, 31, 15

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 177090782/2

Therefore the LCM of Fractions 379/54,634/62,737/30 is 88545391

Greatest Common Factor of 54,62,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,62,30 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 62

List of positive integer factors of 62 that divides 62 without a remainder.

1,2,31,62

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Greatest Common Factor

We found the factors 54,62,30 . The biggest common factor number is the GCF number.
So the greatest common factor 54,62,30 is 2.


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 379/54, 634/62, 737/30

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 379/54, 634/62, 737/30?

Answer: LCM of Numerators as per given numbers 379/54, 634/62, 737/30 is

LCM of Numerators i.e. for 379,634,737 is 177090782

GCF of denominators i.e. for 54,62,30 is 2.

Thus, LCM of Fractions is 88545391.Finally, LCM of Fractions for 379/54, 634/62, 737/30 is 88545391.