Least Common Multiple of 57/526, 420/997, 640/993

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/526, 420/997, 640/993 quickly i.e. 255360 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/526, 420/997, 640/993 is 255360.

LCM(57/526, 420/997, 640/993) = 255360

LCM of 57/526, 420/997, 640/993

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 57/526,420/997,640/993

Given numbers are 57/526,420/997,640/993

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 57,420,640

Least Common Multiple of Numerators i.e. LCM of 57,420,640 is 255360.

GCF of Denominators means GCF of 526,997,993 as per the given fractions.

GCF of 526,997,993 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,420,640

LCM of Fractions 57/526,420/997,640/993 is 255360

2 57, 420, 640
2 57, 210, 320
3 57, 105, 160
5 19, 35, 160
19, 7, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 19 x 7 x 32 = 255360

Least Common Multiple of 57,420,640 with GCF Formula

Least Common Multiple of 57,420,640 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 57,420,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,420,640) = 1

common factors(in case of two or more numbers have common factors) = 60

GCF(57,420,640) x common factors =1 x 60 = 60

LCM(57,420,640) = ( 57 × 420 × 640 ) / 60

LCM(57,420,640) = 15321600 / 60

LCM(57,420,640) = 255360


Lets's calculate GCF of 526,997,993

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255360/1

Therefore the LCM of Fractions 57/526,420/997,640/993 is 255360

Greatest Common Factor of 526,997,993 By Matching Biggest Common Factor Method

Greatest Common Factor of 526,997,993 By Matching Biggest Common Factor Method

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 997

List of positive integer factors of 997 that divides 997 without a remainder.

1,997

Factors of 993

List of positive integer factors of 993 that divides 993 without a remainder.

1,3,331,993

Greatest Common Factor

We found the factors 526,997,993 . The biggest common factor number is the GCF number.
So the greatest common factor 526,997,993 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 57/526, 420/997, 640/993

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 57/526, 420/997, 640/993?

Answer: LCM of Numerators as per given numbers 57/526, 420/997, 640/993 is

LCM of Numerators i.e. for 57,420,640 is 255360

GCF of denominators i.e. for 526,997,993 is 1.

Thus, LCM of Fractions is 255360.Finally, LCM of Fractions for 57/526, 420/997, 640/993 is 255360.