Least Common Multiple of 133/21, 126/49, 330/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 133/21, 126/49, 330/922 quickly i.e. 131670 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 133/21, 126/49, 330/922 is 131670.

LCM(133/21, 126/49, 330/922) = 131670

LCM of 133/21, 126/49, 330/922

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 133/21,126/49,330/922

Given numbers are 133/21,126/49,330/922

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 133,126,330

Least Common Multiple of Numerators i.e. LCM of 133,126,330 is 131670.

GCF of Denominators means GCF of 21,49,922 as per the given fractions.

GCF of 21,49,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 133,126,330

LCM of Fractions 133/21,126/49,330/922 is 131670

2 133, 126, 330
3 133, 63, 165
7 133, 21, 55
19, 3, 55

∴ So the LCM of the given numbers is 2 x 3 x 7 x 19 x 3 x 55 = 131670

Least Common Multiple of 133,126,330 with GCF Formula

Least Common Multiple of 133,126,330 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 133,126,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,126,330) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(133,126,330) x common factors =1 x 42 = 42

LCM(133,126,330) = ( 133 × 126 × 330 ) / 42

LCM(133,126,330) = 5530140 / 42

LCM(133,126,330) = 131670


Lets's calculate GCF of 21,49,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 131670/1

Therefore the LCM of Fractions 133/21,126/49,330/922 is 131670

Greatest Common Factor of 21,49,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,49,922 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 21,49,922 . The biggest common factor number is the GCF number.
So the greatest common factor 21,49,922 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 133/21, 126/49, 330/922

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 133/21, 126/49, 330/922?

Answer: LCM of Numerators as per given numbers 133/21, 126/49, 330/922 is

LCM of Numerators i.e. for 133,126,330 is 131670

GCF of denominators i.e. for 21,49,922 is 1.

Thus, LCM of Fractions is 131670.Finally, LCM of Fractions for 133/21, 126/49, 330/922 is 131670.