Least Common Multiple of 87/85, 732/25, 644/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/85, 732/25, 644/748 quickly i.e. 3417708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/85, 732/25, 644/748 is 3417708.

LCM(87/85, 732/25, 644/748) = 3417708

LCM of 87/85, 732/25, 644/748

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 87/85,732/25,644/748

Given numbers are 87/85,732/25,644/748

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 87,732,644

Least Common Multiple of Numerators i.e. LCM of 87,732,644 is 3417708.

GCF of Denominators means GCF of 85,25,748 as per the given fractions.

GCF of 85,25,748 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,732,644

LCM of Fractions 87/85,732/25,644/748 is 3417708

2 87, 732, 644
2 87, 366, 322
3 87, 183, 161
29, 61, 161

∴ So the LCM of the given numbers is 2 x 2 x 3 x 29 x 61 x 161 = 3417708

Least Common Multiple of 87,732,644 with GCF Formula

Least Common Multiple of 87,732,644 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 87,732,644 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,732,644) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(87,732,644) x common factors =1 x 12 = 12

LCM(87,732,644) = ( 87 × 732 × 644 ) / 12

LCM(87,732,644) = 41012496 / 12

LCM(87,732,644) = 3417708


Lets's calculate GCF of 85,25,748

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3417708/1

Therefore the LCM of Fractions 87/85,732/25,644/748 is 3417708

Greatest Common Factor of 85,25,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 85,25,748 By Matching Biggest Common Factor Method

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 85,25,748 . The biggest common factor number is the GCF number.
So the greatest common factor 85,25,748 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 87/85, 732/25, 644/748

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 87/85, 732/25, 644/748?

Answer: LCM of Numerators as per given numbers 87/85, 732/25, 644/748 is

LCM of Numerators i.e. for 87,732,644 is 3417708

GCF of denominators i.e. for 85,25,748 is 1.

Thus, LCM of Fractions is 3417708.Finally, LCM of Fractions for 87/85, 732/25, 644/748 is 3417708.