Least Common Multiple of 379/544, 820/726

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 379/544, 820/726 quickly i.e. 155390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 379/544, 820/726 is 155390.

LCM(379/544, 820/726) = 155390

LCM of 379/544, 820/726

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 379/544,820/726

Given numbers are 379/544,820/726

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 379,820

Least Common Multiple of Numerators i.e. LCM of 379,820 is 310780.

GCF of Denominators means GCF of 544,726 as per the given fractions.

GCF of 544,726 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 379,820

LCM of Fractions 379/544,820/726 is 155390

Given numbers has no common factors except 1. So, there LCM is their product i.e 310780

Least Common Multiple of 379,820 with GCF Formula

Least Common Multiple of 379,820 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 379,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(379,820) = 1

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

GCF(379,820) x common factors =1 x 1 = 1

LCM(379,820) = ( 379 × 820 ) / 1

LCM(379,820) = 310780 / 1

LCM(379,820) = 310780


Lets's calculate GCF of 544,726

2 544, 726
272, 363

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 310780/2

Therefore the LCM of Fractions 379/544,820/726 is 155390

Greatest Common Factor of 544,726 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,726 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 726

List of positive integer factors of 726 that divides 726 without a remainder.

1,2,3,6,11,22,33,66,121,242,363,726

Greatest Common Factor

We found the factors 544,726 . The biggest common factor number is the GCF number.
So the greatest common factor 544,726 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 379/544, 820/726

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 379/544, 820/726?

Answer: LCM of Numerators as per given numbers 379/544, 820/726 is

LCM of Numerators i.e. for 379,820 is 310780

GCF of denominators i.e. for 544,726 is 2.

Thus, LCM of Fractions is 155390.Finally, LCM of Fractions for 379/544, 820/726 is 155390.