Least Common Multiple of 57/918, 467/53, 551/305

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/918, 467/53, 551/305 quickly i.e. 771951 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/918, 467/53, 551/305 is 771951.

LCM(57/918, 467/53, 551/305) = 771951

LCM of 57/918, 467/53, 551/305

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 57/918,467/53,551/305

Given numbers are 57/918,467/53,551/305

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 57,467,551

Least Common Multiple of Numerators i.e. LCM of 57,467,551 is 771951.

GCF of Denominators means GCF of 918,53,305 as per the given fractions.

GCF of 918,53,305 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,467,551

LCM of Fractions 57/918,467/53,551/305 is 771951

19 57, 467, 551
3, 467, 29

∴ So the LCM of the given numbers is 19 x 3 x 467 x 29 = 771951

Least Common Multiple of 57,467,551 with GCF Formula

Least Common Multiple of 57,467,551 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 57,467,551 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,467,551) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(57,467,551) x common factors =1 x 19 = 19

LCM(57,467,551) = ( 57 × 467 × 551 ) / 19

LCM(57,467,551) = 14667069 / 19

LCM(57,467,551) = 771951


Lets's calculate GCF of 918,53,305

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 771951/1

Therefore the LCM of Fractions 57/918,467/53,551/305 is 771951

Greatest Common Factor of 918,53,305 By Matching Biggest Common Factor Method

Greatest Common Factor of 918,53,305 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 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 305

List of positive integer factors of 305 that divides 305 without a remainder.

1,5,61,305

Greatest Common Factor

We found the factors 918,53,305 . The biggest common factor number is the GCF number.
So the greatest common factor 918,53,305 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 57/918, 467/53, 551/305

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 57/918, 467/53, 551/305?

Answer: LCM of Numerators as per given numbers 57/918, 467/53, 551/305 is

LCM of Numerators i.e. for 57,467,551 is 771951

GCF of denominators i.e. for 918,53,305 is 1.

Thus, LCM of Fractions is 771951.Finally, LCM of Fractions for 57/918, 467/53, 551/305 is 771951.