Least Common Multiple of 13/217, 64/652, 832/631

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 13/217, 64/652, 832/631 quickly i.e. 832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/217, 64/652, 832/631 is 832.

LCM(13/217, 64/652, 832/631) = 832

LCM of 13/217, 64/652, 832/631

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 13/217,64/652,832/631

Given numbers are 13/217,64/652,832/631

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 13,64,832

Least Common Multiple of Numerators i.e. LCM of 13,64,832 is 832.

GCF of Denominators means GCF of 217,652,631 as per the given fractions.

GCF of 217,652,631 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,64,832

LCM of Fractions 13/217,64/652,832/631 is 832

2 13, 64, 832
2 13, 32, 416
2 13, 16, 208
2 13, 8, 104
2 13, 4, 52
2 13, 2, 26
13 13, 1, 13
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 13 x 1 x 1 x 1 = 832

Least Common Multiple of 13,64,832 with GCF Formula

Least Common Multiple of 13,64,832 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 13,64,832 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,64,832) = 1

common factors(in case of two or more numbers have common factors) = 832

GCF(13,64,832) x common factors =1 x 832 = 832

LCM(13,64,832) = ( 13 × 64 × 832 ) / 832

LCM(13,64,832) = 692224 / 832

LCM(13,64,832) = 832


Lets's calculate GCF of 217,652,631

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 832/1

Therefore the LCM of Fractions 13/217,64/652,832/631 is 832

Greatest Common Factor of 217,652,631 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,652,631 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 652

List of positive integer factors of 652 that divides 652 without a remainder.

1,2,4,163,326,652

Factors of 631

List of positive integer factors of 631 that divides 631 without a remainder.

1,631

Greatest Common Factor

We found the factors 217,652,631 . The biggest common factor number is the GCF number.
So the greatest common factor 217,652,631 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 13/217, 64/652, 832/631

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 13/217, 64/652, 832/631?

Answer: LCM of Numerators as per given numbers 13/217, 64/652, 832/631 is

LCM of Numerators i.e. for 13,64,832 is 832

GCF of denominators i.e. for 217,652,631 is 1.

Thus, LCM of Fractions is 832.Finally, LCM of Fractions for 13/217, 64/652, 832/631 is 832.