Least Common Multiple of 21/133, 147/791, 833/700

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/133, 147/791, 833/700 quickly i.e. 357 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/133, 147/791, 833/700 is 357.

LCM(21/133, 147/791, 833/700) = 357

LCM of 21/133, 147/791, 833/700

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 21/133,147/791,833/700

Given numbers are 21/133,147/791,833/700

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 21,147,833

Least Common Multiple of Numerators i.e. LCM of 21,147,833 is 2499.

GCF of Denominators means GCF of 133,791,700 as per the given fractions.

GCF of 133,791,700 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,147,833

LCM of Fractions 21/133,147/791,833/700 is 357

3 21, 147, 833
7 7, 49, 833
7 1, 7, 119
1, 1, 17

∴ So the LCM of the given numbers is 3 x 7 x 7 x 1 x 1 x 17 = 2499

Least Common Multiple of 21,147,833 with GCF Formula

Least Common Multiple of 21,147,833 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 21,147,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,147,833) = 7

common factors(in case of two or more numbers have common factors) = 147

GCF(21,147,833) x common factors =7 x 147 = 1029

LCM(21,147,833) = ( 21 × 147 × 833 ) / 1029

LCM(21,147,833) = 2571471 / 1029

LCM(21,147,833) = 2499


Lets's calculate GCF of 133,791,700

7 133, 791, 700
19, 113, 100

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2499/7

Therefore the LCM of Fractions 21/133,147/791,833/700 is 357

Greatest Common Factor of 133,791,700 By Matching Biggest Common Factor Method

Greatest Common Factor of 133,791,700 By Matching Biggest Common Factor Method

Factors of 133

List of positive integer factors of 133 that divides 133 without a remainder.

1,7,19,133

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Greatest Common Factor

We found the factors 133,791,700 . The biggest common factor number is the GCF number.
So the greatest common factor 133,791,700 is 7.


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 21/133, 147/791, 833/700

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 21/133, 147/791, 833/700?

Answer: LCM of Numerators as per given numbers 21/133, 147/791, 833/700 is

LCM of Numerators i.e. for 21,147,833 is 2499

GCF of denominators i.e. for 133,791,700 is 7.

Thus, LCM of Fractions is 357.Finally, LCM of Fractions for 21/133, 147/791, 833/700 is 357.