Least Common Multiple of 997/654, 165/431, 278/220

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 997/654, 165/431, 278/220 quickly i.e. 45732390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 997/654, 165/431, 278/220 is 45732390.

LCM(997/654, 165/431, 278/220) = 45732390

LCM of 997/654, 165/431, 278/220

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 997/654,165/431,278/220

Given numbers are 997/654,165/431,278/220

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 997,165,278

Least Common Multiple of Numerators i.e. LCM of 997,165,278 is 45732390.

GCF of Denominators means GCF of 654,431,220 as per the given fractions.

GCF of 654,431,220 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 997,165,278

LCM of Fractions 997/654,165/431,278/220 is 45732390

Given numbers has no common factors except 1. So, there LCM is their product i.e 45732390

Least Common Multiple of 997,165,278 with GCF Formula

Least Common Multiple of 997,165,278 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 997,165,278 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(997,165,278) = 1

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

GCF(997,165,278) x common factors =1 x 1 = 1

LCM(997,165,278) = ( 997 × 165 × 278 ) / 1

LCM(997,165,278) = 45732390 / 1

LCM(997,165,278) = 45732390


Lets's calculate GCF of 654,431,220

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45732390/1

Therefore the LCM of Fractions 997/654,165/431,278/220 is 45732390

Greatest Common Factor of 654,431,220 By Matching Biggest Common Factor Method

Greatest Common Factor of 654,431,220 By Matching Biggest Common Factor Method

Factors of 654

List of positive integer factors of 654 that divides 654 without a remainder.

1,2,3,6,109,218,327,654

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 220

List of positive integer factors of 220 that divides 220 without a remainder.

1,2,4,5,10,11,20,22,44,55,110,220

Greatest Common Factor

We found the factors 654,431,220 . The biggest common factor number is the GCF number.
So the greatest common factor 654,431,220 is 1.


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 997/654, 165/431, 278/220

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 997/654, 165/431, 278/220?

Answer: LCM of Numerators as per given numbers 997/654, 165/431, 278/220 is

LCM of Numerators i.e. for 997,165,278 is 45732390

GCF of denominators i.e. for 654,431,220 is 1.

Thus, LCM of Fractions is 45732390.Finally, LCM of Fractions for 997/654, 165/431, 278/220 is 45732390.