Least Common Multiple of 300/379, 253/347, 869/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/379, 253/347, 869/372 quickly i.e. 5996100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/379, 253/347, 869/372 is 5996100.

LCM(300/379, 253/347, 869/372) = 5996100

LCM of 300/379, 253/347, 869/372

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 300/379,253/347,869/372

Given numbers are 300/379,253/347,869/372

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 300,253,869

Least Common Multiple of Numerators i.e. LCM of 300,253,869 is 5996100.

GCF of Denominators means GCF of 379,347,372 as per the given fractions.

GCF of 379,347,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,253,869

LCM of Fractions 300/379,253/347,869/372 is 5996100

11 300, 253, 869
300, 23, 79

∴ So the LCM of the given numbers is 11 x 300 x 23 x 79 = 5996100

Least Common Multiple of 300,253,869 with GCF Formula

Least Common Multiple of 300,253,869 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 300,253,869 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,253,869) = 1

common factors(in case of two or more numbers have common factors) = 11

GCF(300,253,869) x common factors =1 x 11 = 11

LCM(300,253,869) = ( 300 × 253 × 869 ) / 11

LCM(300,253,869) = 65957100 / 11

LCM(300,253,869) = 5996100


Lets's calculate GCF of 379,347,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5996100/1

Therefore the LCM of Fractions 300/379,253/347,869/372 is 5996100

Greatest Common Factor of 379,347,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,347,372 By Matching Biggest Common Factor Method

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Factors of 347

List of positive integer factors of 347 that divides 347 without a remainder.

1,347

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 379,347,372 . The biggest common factor number is the GCF number.
So the greatest common factor 379,347,372 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 300/379, 253/347, 869/372

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 300/379, 253/347, 869/372?

Answer: LCM of Numerators as per given numbers 300/379, 253/347, 869/372 is

LCM of Numerators i.e. for 300,253,869 is 5996100

GCF of denominators i.e. for 379,347,372 is 1.

Thus, LCM of Fractions is 5996100.Finally, LCM of Fractions for 300/379, 253/347, 869/372 is 5996100.