Least Common Multiple of 133/42, 156/89, 947/752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 133/42, 156/89, 947/752 quickly i.e. 19648356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 133/42, 156/89, 947/752 is 19648356.

LCM(133/42, 156/89, 947/752) = 19648356

LCM of 133/42, 156/89, 947/752

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 133/42,156/89,947/752

Given numbers are 133/42,156/89,947/752

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 133,156,947

Least Common Multiple of Numerators i.e. LCM of 133,156,947 is 19648356.

GCF of Denominators means GCF of 42,89,752 as per the given fractions.

GCF of 42,89,752 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 133,156,947

LCM of Fractions 133/42,156/89,947/752 is 19648356

Given numbers has no common factors except 1. So, there LCM is their product i.e 19648356

Least Common Multiple of 133,156,947 with GCF Formula

Least Common Multiple of 133,156,947 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 133,156,947 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,156,947) = 1

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

GCF(133,156,947) x common factors =1 x 1 = 1

LCM(133,156,947) = ( 133 × 156 × 947 ) / 1

LCM(133,156,947) = 19648356 / 1

LCM(133,156,947) = 19648356


Lets's calculate GCF of 42,89,752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19648356/1

Therefore the LCM of Fractions 133/42,156/89,947/752 is 19648356

Greatest Common Factor of 42,89,752 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,89,752 By Matching Biggest Common Factor Method

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 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Greatest Common Factor

We found the factors 42,89,752 . The biggest common factor number is the GCF number.
So the greatest common factor 42,89,752 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 133/42, 156/89, 947/752

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 133/42, 156/89, 947/752?

Answer: LCM of Numerators as per given numbers 133/42, 156/89, 947/752 is

LCM of Numerators i.e. for 133,156,947 is 19648356

GCF of denominators i.e. for 42,89,752 is 1.

Thus, LCM of Fractions is 19648356.Finally, LCM of Fractions for 133/42, 156/89, 947/752 is 19648356.