Least Common Multiple of 9758/427, 8142/708

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9758/427, 8142/708 quickly i.e. 39724818 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9758/427, 8142/708 is 39724818.

LCM(9758/427, 8142/708) = 39724818

LCM of 9758/427, 8142/708

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 9758/427,8142/708

Given numbers are 9758/427,8142/708

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 9758,8142

Least Common Multiple of Numerators i.e. LCM of 9758,8142 is 39724818.

GCF of Denominators means GCF of 427,708 as per the given fractions.

GCF of 427,708 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9758,8142

LCM of Fractions 9758/427,8142/708 is 39724818

2 9758, 8142
4879, 4071

∴ So the LCM of the given numbers is 2 x 4879 x 4071 = 39724818

Least Common Multiple of 9758,8142 with GCF Formula

Least Common Multiple of 9758,8142 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 9758,8142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9758,8142) = 2

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

GCF(9758,8142) x common factors =2 x 1 = 2

LCM(9758,8142) = ( 9758 × 8142 ) / 2

LCM(9758,8142) = 79449636 / 2

LCM(9758,8142) = 39724818


Lets's calculate GCF of 427,708

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 39724818/1

Therefore the LCM of Fractions 9758/427,8142/708 is 39724818

Greatest Common Factor of 427,708 By Matching Biggest Common Factor Method

Greatest Common Factor of 427,708 By Matching Biggest Common Factor Method

Factors of 427

List of positive integer factors of 427 that divides 427 without a remainder.

1,7,61,427

Factors of 708

List of positive integer factors of 708 that divides 708 without a remainder.

1,2,3,4,6,12,59,118,177,236,354,708

Greatest Common Factor

We found the factors 427,708 . The biggest common factor number is the GCF number.
So the greatest common factor 427,708 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 9758/427, 8142/708

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 9758/427, 8142/708?

Answer: LCM of Numerators as per given numbers 9758/427, 8142/708 is

LCM of Numerators i.e. for 9758,8142 is 39724818

GCF of denominators i.e. for 427,708 is 1.

Thus, LCM of Fractions is 39724818.Finally, LCM of Fractions for 9758/427, 8142/708 is 39724818.