Least Common Multiple of 25/23, 336/31, 760/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/23, 336/31, 760/450 quickly i.e. 159600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/23, 336/31, 760/450 is 159600.

LCM(25/23, 336/31, 760/450) = 159600

LCM of 25/23, 336/31, 760/450

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 25/23,336/31,760/450

Given numbers are 25/23,336/31,760/450

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 25,336,760

Least Common Multiple of Numerators i.e. LCM of 25,336,760 is 159600.

GCF of Denominators means GCF of 23,31,450 as per the given fractions.

GCF of 23,31,450 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,336,760

LCM of Fractions 25/23,336/31,760/450 is 159600

2 25, 336, 760
2 25, 168, 380
2 25, 84, 190
5 25, 42, 95
5, 42, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 5 x 42 x 19 = 159600

Least Common Multiple of 25,336,760 with GCF Formula

Least Common Multiple of 25,336,760 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 25,336,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,336,760) = 1

common factors(in case of two or more numbers have common factors) = 40

GCF(25,336,760) x common factors =1 x 40 = 40

LCM(25,336,760) = ( 25 × 336 × 760 ) / 40

LCM(25,336,760) = 6384000 / 40

LCM(25,336,760) = 159600


Lets's calculate GCF of 23,31,450

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 159600/1

Therefore the LCM of Fractions 25/23,336/31,760/450 is 159600

Greatest Common Factor of 23,31,450 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,31,450 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Greatest Common Factor

We found the factors 23,31,450 . The biggest common factor number is the GCF number.
So the greatest common factor 23,31,450 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 25/23, 336/31, 760/450

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 25/23, 336/31, 760/450?

Answer: LCM of Numerators as per given numbers 25/23, 336/31, 760/450 is

LCM of Numerators i.e. for 25,336,760 is 159600

GCF of denominators i.e. for 23,31,450 is 1.

Thus, LCM of Fractions is 159600.Finally, LCM of Fractions for 25/23, 336/31, 760/450 is 159600.