Least Common Multiple of 479/578, 2715/424

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 479/578, 2715/424 quickly i.e. 1300485/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 479/578, 2715/424 is 1300485/2.

LCM(479/578, 2715/424) = 1300485/2

LCM of 479/578, 2715/424

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 479/578,2715/424

Given numbers are 479/578,2715/424

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 479,2715

Least Common Multiple of Numerators i.e. LCM of 479,2715 is 1300485.

GCF of Denominators means GCF of 578,424 as per the given fractions.

GCF of 578,424 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 479,2715

LCM of Fractions 479/578,2715/424 is 1300485/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1300485

Least Common Multiple of 479,2715 with GCF Formula

Least Common Multiple of 479,2715 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 479,2715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(479,2715) = 1

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

GCF(479,2715) x common factors =1 x 1 = 1

LCM(479,2715) = ( 479 × 2715 ) / 1

LCM(479,2715) = 1300485 / 1

LCM(479,2715) = 1300485


Lets's calculate GCF of 578,424

2 578, 424
289, 212

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1300485/2

Therefore the LCM of Fractions 479/578,2715/424 is 1300485/2

Greatest Common Factor of 578,424 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,424 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Greatest Common Factor

We found the factors 578,424 . The biggest common factor number is the GCF number.
So the greatest common factor 578,424 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 479/578, 2715/424

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 479/578, 2715/424?

Answer: LCM of Numerators as per given numbers 479/578, 2715/424 is

LCM of Numerators i.e. for 479,2715 is 1300485

GCF of denominators i.e. for 578,424 is 2.

Thus, LCM of Fractions is 1300485/2.Finally, LCM of Fractions for 479/578, 2715/424 is 1300485/2.