Least Common Multiple of 72/379, 421/263, 870/655

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/379, 421/263, 870/655 quickly i.e. 4395240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/379, 421/263, 870/655 is 4395240.

LCM(72/379, 421/263, 870/655) = 4395240

LCM of 72/379, 421/263, 870/655

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 72/379,421/263,870/655

Given numbers are 72/379,421/263,870/655

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 72,421,870

Least Common Multiple of Numerators i.e. LCM of 72,421,870 is 4395240.

GCF of Denominators means GCF of 379,263,655 as per the given fractions.

GCF of 379,263,655 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,421,870

LCM of Fractions 72/379,421/263,870/655 is 4395240

2 72, 421, 870
3 36, 421, 435
12, 421, 145

∴ So the LCM of the given numbers is 2 x 3 x 12 x 421 x 145 = 4395240

Least Common Multiple of 72,421,870 with GCF Formula

Least Common Multiple of 72,421,870 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 72,421,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,421,870) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(72,421,870) x common factors =1 x 6 = 6

LCM(72,421,870) = ( 72 × 421 × 870 ) / 6

LCM(72,421,870) = 26371440 / 6

LCM(72,421,870) = 4395240


Lets's calculate GCF of 379,263,655

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4395240/1

Therefore the LCM of Fractions 72/379,421/263,870/655 is 4395240

Greatest Common Factor of 379,263,655 By Matching Biggest Common Factor Method

Greatest Common Factor of 379,263,655 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 263

List of positive integer factors of 263 that divides 263 without a remainder.

1,263

Factors of 655

List of positive integer factors of 655 that divides 655 without a remainder.

1,5,131,655

Greatest Common Factor

We found the factors 379,263,655 . The biggest common factor number is the GCF number.
So the greatest common factor 379,263,655 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 72/379, 421/263, 870/655

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 72/379, 421/263, 870/655?

Answer: LCM of Numerators as per given numbers 72/379, 421/263, 870/655 is

LCM of Numerators i.e. for 72,421,870 is 4395240

GCF of denominators i.e. for 379,263,655 is 1.

Thus, LCM of Fractions is 4395240.Finally, LCM of Fractions for 72/379, 421/263, 870/655 is 4395240.