Least Common Multiple of 96/72, 185/42, 138/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/72, 185/42, 138/630 quickly i.e. 68080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/72, 185/42, 138/630 is 68080.

LCM(96/72, 185/42, 138/630) = 68080

LCM of 96/72, 185/42, 138/630

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 96/72,185/42,138/630

Given numbers are 96/72,185/42,138/630

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 96,185,138

Least Common Multiple of Numerators i.e. LCM of 96,185,138 is 408480.

GCF of Denominators means GCF of 72,42,630 as per the given fractions.

GCF of 72,42,630 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,185,138

LCM of Fractions 96/72,185/42,138/630 is 68080

2 96, 185, 138
3 48, 185, 69
16, 185, 23

∴ So the LCM of the given numbers is 2 x 3 x 16 x 185 x 23 = 408480

Least Common Multiple of 96,185,138 with GCF Formula

Least Common Multiple of 96,185,138 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 96,185,138 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,185,138) = 1

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

GCF(96,185,138) x common factors =1 x 6 = 6

LCM(96,185,138) = ( 96 × 185 × 138 ) / 6

LCM(96,185,138) = 2450880 / 6

LCM(96,185,138) = 408480


Lets's calculate GCF of 72,42,630

2 72, 42, 630
3 36, 21, 315
12, 7, 105

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 408480/6

Therefore the LCM of Fractions 96/72,185/42,138/630 is 68080

Greatest Common Factor of 72,42,630 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,42,630 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 630

List of positive integer factors of 630 that divides 630 without a remainder.

1,2,3,5,6,7,9,10,14,15,18,21,30,35,42,45,63,70,90,105,126,210,315,630

Greatest Common Factor

We found the factors 72,42,630 . The biggest common factor number is the GCF number.
So the greatest common factor 72,42,630 is 6.


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 96/72, 185/42, 138/630

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 96/72, 185/42, 138/630?

Answer: LCM of Numerators as per given numbers 96/72, 185/42, 138/630 is

LCM of Numerators i.e. for 96,185,138 is 408480

GCF of denominators i.e. for 72,42,630 is 6.

Thus, LCM of Fractions is 68080.Finally, LCM of Fractions for 96/72, 185/42, 138/630 is 68080.