Least Common Multiple of 52/97, 89/22, 34/81, 76/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 52/97, 89/22, 34/81, 76/630 quickly i.e. 1494844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 52/97, 89/22, 34/81, 76/630 is 1494844.

LCM(52/97, 89/22, 34/81, 76/630) = 1494844

LCM of 52/97, 89/22, 34/81, 76/630

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 52/97,89/22,34/81,76/630

Given numbers are 52/97,89/22,34/81,76/630

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 52,89,34,76

Least Common Multiple of Numerators i.e. LCM of 52,89,34,76 is 1494844.

GCF of Denominators means GCF of 97,22,81,630 as per the given fractions.

GCF of 97,22,81,630 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 52,89,34,76

LCM of Fractions 52/97,89/22,34/81,76/630 is 1494844

2 52, 89, 34, 76
2 26, 89, 17, 38
13, 89, 17, 19

∴ So the LCM of the given numbers is 2 x 2 x 13 x 89 x 17 x 19 = 1494844

Least Common Multiple of 52,89,34,76 with GCF Formula

Least Common Multiple of 52,89,34,76 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 52,89,34,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,89,34,76) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(52,89,34,76) x common factors =1 x 8 = 8

LCM(52,89,34,76) = ( 52 × 89 × 34 × 76 ) / 8

LCM(52,89,34,76) = 11958752 / 8

LCM(52,89,34,76) = 1494844


Lets's calculate GCF of 97,22,81,630

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1494844/1

Therefore the LCM of Fractions 52/97,89/22,34/81,76/630 is 1494844

Greatest Common Factor of 97,22,81,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,22,81,630 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 97,22,81,630 . The biggest common factor number is the GCF number.
So the greatest common factor 97,22,81,630 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 52/97, 89/22, 34/81, 76/630

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 52/97, 89/22, 34/81, 76/630?

Answer: LCM of Numerators as per given numbers 52/97, 89/22, 34/81, 76/630 is

LCM of Numerators i.e. for 52,89,34,76 is 1494844

GCF of denominators i.e. for 97,22,81,630 is 1.

Thus, LCM of Fractions is 1494844.Finally, LCM of Fractions for 52/97, 89/22, 34/81, 76/630 is 1494844.