Least Common Multiple of 25/108, 45/314, 458/950

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/108, 45/314, 458/950 quickly i.e. 51525 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/108, 45/314, 458/950 is 51525.

LCM(25/108, 45/314, 458/950) = 51525

LCM of 25/108, 45/314, 458/950

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 25/108,45/314,458/950

Given numbers are 25/108,45/314,458/950

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 25,45,458

Least Common Multiple of Numerators i.e. LCM of 25,45,458 is 103050.

GCF of Denominators means GCF of 108,314,950 as per the given fractions.

GCF of 108,314,950 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,45,458

LCM of Fractions 25/108,45/314,458/950 is 51525

5 25, 45, 458
5, 9, 458

∴ So the LCM of the given numbers is 5 x 5 x 9 x 458 = 103050

Least Common Multiple of 25,45,458 with GCF Formula

Least Common Multiple of 25,45,458 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 25,45,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,45,458) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(25,45,458) x common factors =1 x 5 = 5

LCM(25,45,458) = ( 25 × 45 × 458 ) / 5

LCM(25,45,458) = 515250 / 5

LCM(25,45,458) = 103050


Lets's calculate GCF of 108,314,950

2 108, 314, 950
54, 157, 475

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 103050/2

Therefore the LCM of Fractions 25/108,45/314,458/950 is 51525

Greatest Common Factor of 108,314,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,314,950 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 108,314,950 . The biggest common factor number is the GCF number.
So the greatest common factor 108,314,950 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 25/108, 45/314, 458/950

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 25/108, 45/314, 458/950?

Answer: LCM of Numerators as per given numbers 25/108, 45/314, 458/950 is

LCM of Numerators i.e. for 25,45,458 is 103050

GCF of denominators i.e. for 108,314,950 is 2.

Thus, LCM of Fractions is 51525.Finally, LCM of Fractions for 25/108, 45/314, 458/950 is 51525.