Least Common Multiple of 638/972, 1913/3062

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 638/972, 1913/3062 quickly i.e. 610247 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 638/972, 1913/3062 is 610247.

LCM(638/972, 1913/3062) = 610247

LCM of 638/972, 1913/3062

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 638/972,1913/3062

Given numbers are 638/972,1913/3062

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 638,1913

Least Common Multiple of Numerators i.e. LCM of 638,1913 is 1220494.

GCF of Denominators means GCF of 972,3062 as per the given fractions.

GCF of 972,3062 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 638,1913

LCM of Fractions 638/972,1913/3062 is 610247

Given numbers has no common factors except 1. So, there LCM is their product i.e 1220494

Least Common Multiple of 638,1913 with GCF Formula

Least Common Multiple of 638,1913 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 638,1913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,1913) = 1

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

GCF(638,1913) x common factors =1 x 1 = 1

LCM(638,1913) = ( 638 × 1913 ) / 1

LCM(638,1913) = 1220494 / 1

LCM(638,1913) = 1220494


Lets's calculate GCF of 972,3062

2 972, 3062
486, 1531

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1220494/2

Therefore the LCM of Fractions 638/972,1913/3062 is 610247

Greatest Common Factor of 972,3062 By Matching Biggest Common Factor Method

Greatest Common Factor of 972,3062 By Matching Biggest Common Factor Method

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 3062

List of positive integer factors of 3062 that divides 3062 without a remainder.

1,2,1531,3062

Greatest Common Factor

We found the factors 972,3062 . The biggest common factor number is the GCF number.
So the greatest common factor 972,3062 is 2.


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 638/972, 1913/3062

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 638/972, 1913/3062?

Answer: LCM of Numerators as per given numbers 638/972, 1913/3062 is

LCM of Numerators i.e. for 638,1913 is 1220494

GCF of denominators i.e. for 972,3062 is 2.

Thus, LCM of Fractions is 610247.Finally, LCM of Fractions for 638/972, 1913/3062 is 610247.