Least Common Multiple of 422/58, 6714/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/58, 6714/748 quickly i.e. 708327 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/58, 6714/748 is 708327.

LCM(422/58, 6714/748) = 708327

LCM of 422/58, 6714/748

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 422/58,6714/748

Given numbers are 422/58,6714/748

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 422,6714

Least Common Multiple of Numerators i.e. LCM of 422,6714 is 1416654.

GCF of Denominators means GCF of 58,748 as per the given fractions.

GCF of 58,748 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,6714

LCM of Fractions 422/58,6714/748 is 708327

2 422, 6714
211, 3357

∴ So the LCM of the given numbers is 2 x 211 x 3357 = 1416654

Least Common Multiple of 422,6714 with GCF Formula

Least Common Multiple of 422,6714 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 422,6714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,6714) = 2

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

GCF(422,6714) x common factors =2 x 1 = 2

LCM(422,6714) = ( 422 × 6714 ) / 2

LCM(422,6714) = 2833308 / 2

LCM(422,6714) = 1416654


Lets's calculate GCF of 58,748

2 58, 748
29, 374

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1416654/2

Therefore the LCM of Fractions 422/58,6714/748 is 708327

Greatest Common Factor of 58,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,748 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 58,748 . The biggest common factor number is the GCF number.
So the greatest common factor 58,748 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 422/58, 6714/748

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 422/58, 6714/748?

Answer: LCM of Numerators as per given numbers 422/58, 6714/748 is

LCM of Numerators i.e. for 422,6714 is 1416654

GCF of denominators i.e. for 58,748 is 2.

Thus, LCM of Fractions is 708327.Finally, LCM of Fractions for 422/58, 6714/748 is 708327.