Least Common Multiple of 327/942, 9870/7450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 327/942, 9870/7450 quickly i.e. 537915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 327/942, 9870/7450 is 537915.

LCM(327/942, 9870/7450) = 537915

LCM of 327/942, 9870/7450

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 327/942,9870/7450

Given numbers are 327/942,9870/7450

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 327,9870

Least Common Multiple of Numerators i.e. LCM of 327,9870 is 1075830.

GCF of Denominators means GCF of 942,7450 as per the given fractions.

GCF of 942,7450 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 327,9870

LCM of Fractions 327/942,9870/7450 is 537915

3 327, 9870
109, 3290

∴ So the LCM of the given numbers is 3 x 109 x 3290 = 1075830

Least Common Multiple of 327,9870 with GCF Formula

Least Common Multiple of 327,9870 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 327,9870 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(327,9870) = 3

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

GCF(327,9870) x common factors =3 x 1 = 3

LCM(327,9870) = ( 327 × 9870 ) / 3

LCM(327,9870) = 3227490 / 3

LCM(327,9870) = 1075830


Lets's calculate GCF of 942,7450

2 942, 7450
471, 3725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1075830/2

Therefore the LCM of Fractions 327/942,9870/7450 is 537915

Greatest Common Factor of 942,7450 By Matching Biggest Common Factor Method

Greatest Common Factor of 942,7450 By Matching Biggest Common Factor Method

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Factors of 7450

List of positive integer factors of 7450 that divides 7450 without a remainder.

1,2,5,10,25,50,149,298,745,1490,3725,7450

Greatest Common Factor

We found the factors 942,7450 . The biggest common factor number is the GCF number.
So the greatest common factor 942,7450 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 327/942, 9870/7450

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 327/942, 9870/7450?

Answer: LCM of Numerators as per given numbers 327/942, 9870/7450 is

LCM of Numerators i.e. for 327,9870 is 1075830

GCF of denominators i.e. for 942,7450 is 2.

Thus, LCM of Fractions is 537915.Finally, LCM of Fractions for 327/942, 9870/7450 is 537915.