Least Common Multiple of 45/918, 20/693, 648/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 45/918, 20/693, 648/771 quickly i.e. 1080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 45/918, 20/693, 648/771 is 1080.

LCM(45/918, 20/693, 648/771) = 1080

LCM of 45/918, 20/693, 648/771

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 45/918,20/693,648/771

Given numbers are 45/918,20/693,648/771

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 45,20,648

Least Common Multiple of Numerators i.e. LCM of 45,20,648 is 3240.

GCF of Denominators means GCF of 918,693,771 as per the given fractions.

GCF of 918,693,771 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 45,20,648

LCM of Fractions 45/918,20/693,648/771 is 1080

2 45, 20, 648
2 45, 10, 324
3 45, 5, 162
3 15, 5, 54
5 5, 5, 18
1, 1, 18

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 5 x 1 x 1 x 18 = 3240

Least Common Multiple of 45,20,648 with GCF Formula

Least Common Multiple of 45,20,648 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 45,20,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,20,648) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(45,20,648) x common factors =1 x 180 = 180

LCM(45,20,648) = ( 45 × 20 × 648 ) / 180

LCM(45,20,648) = 583200 / 180

LCM(45,20,648) = 3240


Lets's calculate GCF of 918,693,771

3 918, 693, 771
306, 231, 257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3240/3

Therefore the LCM of Fractions 45/918,20/693,648/771 is 1080

Greatest Common Factor of 918,693,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,693,771 By Matching Biggest Common Factor Method

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

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 918,693,771 . The biggest common factor number is the GCF number.
So the greatest common factor 918,693,771 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 45/918, 20/693, 648/771

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 45/918, 20/693, 648/771?

Answer: LCM of Numerators as per given numbers 45/918, 20/693, 648/771 is

LCM of Numerators i.e. for 45,20,648 is 3240

GCF of denominators i.e. for 918,693,771 is 3.

Thus, LCM of Fractions is 1080.Finally, LCM of Fractions for 45/918, 20/693, 648/771 is 1080.