Least Common Multiple of 987/893, 9420/8740

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 987/893, 9420/8740 quickly i.e. 3099180/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 987/893, 9420/8740 is 3099180/19.

LCM(987/893, 9420/8740) = 3099180/19

LCM of 987/893, 9420/8740

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 987/893,9420/8740

Given numbers are 987/893,9420/8740

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 987,9420

Least Common Multiple of Numerators i.e. LCM of 987,9420 is 3099180.

GCF of Denominators means GCF of 893,8740 as per the given fractions.

GCF of 893,8740 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 987,9420

LCM of Fractions 987/893,9420/8740 is 3099180/19

3 987, 9420
329, 3140

∴ So the LCM of the given numbers is 3 x 329 x 3140 = 3099180

Least Common Multiple of 987,9420 with GCF Formula

Least Common Multiple of 987,9420 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 987,9420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,9420) = 3

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

GCF(987,9420) x common factors =3 x 1 = 3

LCM(987,9420) = ( 987 × 9420 ) / 3

LCM(987,9420) = 9297540 / 3

LCM(987,9420) = 3099180


Lets's calculate GCF of 893,8740

19 893, 8740
47, 460

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3099180/19

Therefore the LCM of Fractions 987/893,9420/8740 is 3099180/19

Greatest Common Factor of 893,8740 By Matching Biggest Common Factor Method

Greatest Common Factor of 893,8740 By Matching Biggest Common Factor Method

Factors of 893

List of positive integer factors of 893 that divides 893 without a remainder.

1,19,47,893

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Greatest Common Factor

We found the factors 893,8740 . The biggest common factor number is the GCF number.
So the greatest common factor 893,8740 is 19.


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 987/893, 9420/8740

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 987/893, 9420/8740?

Answer: LCM of Numerators as per given numbers 987/893, 9420/8740 is

LCM of Numerators i.e. for 987,9420 is 3099180

GCF of denominators i.e. for 893,8740 is 19.

Thus, LCM of Fractions is 3099180/19.Finally, LCM of Fractions for 987/893, 9420/8740 is 3099180/19.