Least Common Multiple of 428/439, 7038/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 428/439, 7038/715 quickly i.e. 1506132 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 428/439, 7038/715 is 1506132.

LCM(428/439, 7038/715) = 1506132

LCM of 428/439, 7038/715

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 428/439,7038/715

Given numbers are 428/439,7038/715

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 428,7038

Least Common Multiple of Numerators i.e. LCM of 428,7038 is 1506132.

GCF of Denominators means GCF of 439,715 as per the given fractions.

GCF of 439,715 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 428,7038

LCM of Fractions 428/439,7038/715 is 1506132

2 428, 7038
214, 3519

∴ So the LCM of the given numbers is 2 x 214 x 3519 = 1506132

Least Common Multiple of 428,7038 with GCF Formula

Least Common Multiple of 428,7038 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 428,7038 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(428,7038) = 2

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

GCF(428,7038) x common factors =2 x 1 = 2

LCM(428,7038) = ( 428 × 7038 ) / 2

LCM(428,7038) = 3012264 / 2

LCM(428,7038) = 1506132


Lets's calculate GCF of 439,715

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1506132/1

Therefore the LCM of Fractions 428/439,7038/715 is 1506132

Greatest Common Factor of 439,715 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,715 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

Factors of 715

List of positive integer factors of 715 that divides 715 without a remainder.

1,5,11,13,55,65,143,715

Greatest Common Factor

We found the factors 439,715 . The biggest common factor number is the GCF number.
So the greatest common factor 439,715 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 428/439, 7038/715

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 428/439, 7038/715?

Answer: LCM of Numerators as per given numbers 428/439, 7038/715 is

LCM of Numerators i.e. for 428,7038 is 1506132

GCF of denominators i.e. for 439,715 is 1.

Thus, LCM of Fractions is 1506132.Finally, LCM of Fractions for 428/439, 7038/715 is 1506132.