Least Common Multiple of 72/152, 749/836, 173/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 72/152, 749/836, 173/874 quickly i.e. 9329544/38 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/152, 749/836, 173/874 is 9329544/38.

LCM(72/152, 749/836, 173/874) = 9329544/38

LCM of 72/152, 749/836, 173/874

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 72/152,749/836,173/874

Given numbers are 72/152,749/836,173/874

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 72,749,173

Least Common Multiple of Numerators i.e. LCM of 72,749,173 is 9329544.

GCF of Denominators means GCF of 152,836,874 as per the given fractions.

GCF of 152,836,874 is 38 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,749,173

LCM of Fractions 72/152,749/836,173/874 is 9329544/38

Given numbers has no common factors except 1. So, there LCM is their product i.e 9329544

Least Common Multiple of 72,749,173 with GCF Formula

Least Common Multiple of 72,749,173 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 72,749,173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,749,173) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(72,749,173) x common factors =1 x 1 = 1

LCM(72,749,173) = ( 72 × 749 × 173 ) / 1

LCM(72,749,173) = 9329544 / 1

LCM(72,749,173) = 9329544


Lets's calculate GCF of 152,836,874

2 152, 836, 874
19 76, 418, 437
4, 22, 23

∴ So the GCF of the given numbers is 2 x 19 = 38

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9329544/38

Therefore the LCM of Fractions 72/152,749/836,173/874 is 9329544/38

Greatest Common Factor of 152,836,874 By Matching Biggest Common Factor Method

Greatest Common Factor of 152,836,874 By Matching Biggest Common Factor Method

Factors of 152

List of positive integer factors of 152 that divides 152 without a remainder.

1,2,4,8,19,38,76,152

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Greatest Common Factor

We found the factors 152,836,874 . The biggest common factor number is the GCF number.
So the greatest common factor 152,836,874 is 38.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 72/152, 749/836, 173/874

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 72/152, 749/836, 173/874?

Answer: LCM of Numerators as per given numbers 72/152, 749/836, 173/874 is

LCM of Numerators i.e. for 72,749,173 is 9329544

GCF of denominators i.e. for 152,836,874 is 38.

Thus, LCM of Fractions is 9329544/38.Finally, LCM of Fractions for 72/152, 749/836, 173/874 is 9329544/38.