Least Common Multiple of 527/13, 212/10, 930/635

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 527/13, 212/10, 930/635 quickly i.e. 1675860 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 527/13, 212/10, 930/635 is 1675860.

LCM(527/13, 212/10, 930/635) = 1675860

LCM of 527/13, 212/10, 930/635

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 527/13,212/10,930/635

Given numbers are 527/13,212/10,930/635

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 527,212,930

Least Common Multiple of Numerators i.e. LCM of 527,212,930 is 1675860.

GCF of Denominators means GCF of 13,10,635 as per the given fractions.

GCF of 13,10,635 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 527,212,930

LCM of Fractions 527/13,212/10,930/635 is 1675860

2 527, 212, 930
31 527, 106, 465
17, 106, 15

∴ So the LCM of the given numbers is 2 x 31 x 17 x 106 x 15 = 1675860

Least Common Multiple of 527,212,930 with GCF Formula

Least Common Multiple of 527,212,930 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 527,212,930 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(527,212,930) = 1

common factors(in case of two or more numbers have common factors) = 62

GCF(527,212,930) x common factors =1 x 62 = 62

LCM(527,212,930) = ( 527 × 212 × 930 ) / 62

LCM(527,212,930) = 103903320 / 62

LCM(527,212,930) = 1675860


Lets's calculate GCF of 13,10,635

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1675860/1

Therefore the LCM of Fractions 527/13,212/10,930/635 is 1675860

Greatest Common Factor of 13,10,635 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,10,635 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 635

List of positive integer factors of 635 that divides 635 without a remainder.

1,5,127,635

Greatest Common Factor

We found the factors 13,10,635 . The biggest common factor number is the GCF number.
So the greatest common factor 13,10,635 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 527/13, 212/10, 930/635

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 527/13, 212/10, 930/635?

Answer: LCM of Numerators as per given numbers 527/13, 212/10, 930/635 is

LCM of Numerators i.e. for 527,212,930 is 1675860

GCF of denominators i.e. for 13,10,635 is 1.

Thus, LCM of Fractions is 1675860.Finally, LCM of Fractions for 527/13, 212/10, 930/635 is 1675860.