Least Common Multiple of 74/95, 18/63, 825/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/95, 18/63, 825/118 quickly i.e. 183150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/95, 18/63, 825/118 is 183150.

LCM(74/95, 18/63, 825/118) = 183150

LCM of 74/95, 18/63, 825/118

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 74/95,18/63,825/118

Given numbers are 74/95,18/63,825/118

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 74,18,825

Least Common Multiple of Numerators i.e. LCM of 74,18,825 is 183150.

GCF of Denominators means GCF of 95,63,118 as per the given fractions.

GCF of 95,63,118 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,18,825

LCM of Fractions 74/95,18/63,825/118 is 183150

2 74, 18, 825
3 37, 9, 825
37, 3, 275

∴ So the LCM of the given numbers is 2 x 3 x 37 x 3 x 275 = 183150

Least Common Multiple of 74,18,825 with GCF Formula

Least Common Multiple of 74,18,825 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 74,18,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,18,825) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(74,18,825) x common factors =1 x 6 = 6

LCM(74,18,825) = ( 74 × 18 × 825 ) / 6

LCM(74,18,825) = 1098900 / 6

LCM(74,18,825) = 183150


Lets's calculate GCF of 95,63,118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183150/1

Therefore the LCM of Fractions 74/95,18/63,825/118 is 183150

Greatest Common Factor of 95,63,118 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,63,118 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 118

List of positive integer factors of 118 that divides 118 without a remainder.

1,2,59,118

Greatest Common Factor

We found the factors 95,63,118 . The biggest common factor number is the GCF number.
So the greatest common factor 95,63,118 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 74/95, 18/63, 825/118

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 74/95, 18/63, 825/118?

Answer: LCM of Numerators as per given numbers 74/95, 18/63, 825/118 is

LCM of Numerators i.e. for 74,18,825 is 183150

GCF of denominators i.e. for 95,63,118 is 1.

Thus, LCM of Fractions is 183150.Finally, LCM of Fractions for 74/95, 18/63, 825/118 is 183150.