Least Common Multiple of 978/51, 7185/918

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/51, 7185/918 quickly i.e. 2342310/51 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/51, 7185/918 is 2342310/51.

LCM(978/51, 7185/918) = 2342310/51

LCM of 978/51, 7185/918

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 978/51,7185/918

Given numbers are 978/51,7185/918

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 978,7185

Least Common Multiple of Numerators i.e. LCM of 978,7185 is 2342310.

GCF of Denominators means GCF of 51,918 as per the given fractions.

GCF of 51,918 is 51 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,7185

LCM of Fractions 978/51,7185/918 is 2342310/51

3 978, 7185
326, 2395

∴ So the LCM of the given numbers is 3 x 326 x 2395 = 2342310

Least Common Multiple of 978,7185 with GCF Formula

Least Common Multiple of 978,7185 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 978,7185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,7185) = 3

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

GCF(978,7185) x common factors =3 x 1 = 3

LCM(978,7185) = ( 978 × 7185 ) / 3

LCM(978,7185) = 7026930 / 3

LCM(978,7185) = 2342310


Lets's calculate GCF of 51,918

3 51, 918
17 17, 306
1, 18

∴ So the GCF of the given numbers is 3 x 17 = 51

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2342310/51

Therefore the LCM of Fractions 978/51,7185/918 is 2342310/51

Greatest Common Factor of 51,918 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,918 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 918

List of positive integer factors of 918 that divides 918 without a remainder.

1,2,3,6,9,17,18,27,34,51,54,102,153,306,459,918

Greatest Common Factor

We found the factors 51,918 . The biggest common factor number is the GCF number.
So the greatest common factor 51,918 is 51.


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 978/51, 7185/918

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 978/51, 7185/918?

Answer: LCM of Numerators as per given numbers 978/51, 7185/918 is

LCM of Numerators i.e. for 978,7185 is 2342310

GCF of denominators i.e. for 51,918 is 51.

Thus, LCM of Fractions is 2342310/51.Finally, LCM of Fractions for 978/51, 7185/918 is 2342310/51.