Least Common Multiple of 1782/987, 7416/108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1782/987, 7416/108 quickly i.e. 244728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1782/987, 7416/108 is 244728.

LCM(1782/987, 7416/108) = 244728

LCM of 1782/987, 7416/108

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 1782/987,7416/108

Given numbers are 1782/987,7416/108

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 1782,7416

Least Common Multiple of Numerators i.e. LCM of 1782,7416 is 734184.

GCF of Denominators means GCF of 987,108 as per the given fractions.

GCF of 987,108 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1782,7416

LCM of Fractions 1782/987,7416/108 is 244728

2 1782, 7416
3 891, 3708
3 297, 1236
99, 412

∴ So the LCM of the given numbers is 2 x 3 x 3 x 99 x 412 = 734184

Least Common Multiple of 1782,7416 with GCF Formula

Least Common Multiple of 1782,7416 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 1782,7416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1782,7416) = 18

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

GCF(1782,7416) x common factors =18 x 1 = 18

LCM(1782,7416) = ( 1782 × 7416 ) / 18

LCM(1782,7416) = 13215312 / 18

LCM(1782,7416) = 734184


Lets's calculate GCF of 987,108

3 987, 108
329, 36

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 734184/3

Therefore the LCM of Fractions 1782/987,7416/108 is 244728

Greatest Common Factor of 987,108 By Matching Biggest Common Factor Method

Greatest Common Factor of 987,108 By Matching Biggest Common Factor Method

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Greatest Common Factor

We found the factors 987,108 . The biggest common factor number is the GCF number.
So the greatest common factor 987,108 is 3.


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 1782/987, 7416/108

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 1782/987, 7416/108?

Answer: LCM of Numerators as per given numbers 1782/987, 7416/108 is

LCM of Numerators i.e. for 1782,7416 is 734184

GCF of denominators i.e. for 987,108 is 3.

Thus, LCM of Fractions is 244728.Finally, LCM of Fractions for 1782/987, 7416/108 is 244728.