Least Common Multiple of 25/86, 53/38, 900/634

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/86, 53/38, 900/634 quickly i.e. 23850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/86, 53/38, 900/634 is 23850.

LCM(25/86, 53/38, 900/634) = 23850

LCM of 25/86, 53/38, 900/634

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 25/86,53/38,900/634

Given numbers are 25/86,53/38,900/634

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 25,53,900

Least Common Multiple of Numerators i.e. LCM of 25,53,900 is 47700.

GCF of Denominators means GCF of 86,38,634 as per the given fractions.

GCF of 86,38,634 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,53,900

LCM of Fractions 25/86,53/38,900/634 is 23850

5 25, 53, 900
5 5, 53, 180
1, 53, 36

∴ So the LCM of the given numbers is 5 x 5 x 1 x 53 x 36 = 47700

Least Common Multiple of 25,53,900 with GCF Formula

Least Common Multiple of 25,53,900 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 25,53,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,53,900) = 1

common factors(in case of two or more numbers have common factors) = 25

GCF(25,53,900) x common factors =1 x 25 = 25

LCM(25,53,900) = ( 25 × 53 × 900 ) / 25

LCM(25,53,900) = 1192500 / 25

LCM(25,53,900) = 47700


Lets's calculate GCF of 86,38,634

2 86, 38, 634
43, 19, 317

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47700/2

Therefore the LCM of Fractions 25/86,53/38,900/634 is 23850

Greatest Common Factor of 86,38,634 By Matching Biggest Common Factor Method

Greatest Common Factor of 86,38,634 By Matching Biggest Common Factor Method

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 634

List of positive integer factors of 634 that divides 634 without a remainder.

1,2,317,634

Greatest Common Factor

We found the factors 86,38,634 . The biggest common factor number is the GCF number.
So the greatest common factor 86,38,634 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 25/86, 53/38, 900/634

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 25/86, 53/38, 900/634?

Answer: LCM of Numerators as per given numbers 25/86, 53/38, 900/634 is

LCM of Numerators i.e. for 25,53,900 is 47700

GCF of denominators i.e. for 86,38,634 is 2.

Thus, LCM of Fractions is 23850.Finally, LCM of Fractions for 25/86, 53/38, 900/634 is 23850.