Least Common Multiple of 21/325, 58/150, 217/799

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/325, 58/150, 217/799 quickly i.e. 37758 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/325, 58/150, 217/799 is 37758.

LCM(21/325, 58/150, 217/799) = 37758

LCM of 21/325, 58/150, 217/799

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 21/325,58/150,217/799

Given numbers are 21/325,58/150,217/799

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 21,58,217

Least Common Multiple of Numerators i.e. LCM of 21,58,217 is 37758.

GCF of Denominators means GCF of 325,150,799 as per the given fractions.

GCF of 325,150,799 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,58,217

LCM of Fractions 21/325,58/150,217/799 is 37758

7 21, 58, 217
3, 58, 31

∴ So the LCM of the given numbers is 7 x 3 x 58 x 31 = 37758

Least Common Multiple of 21,58,217 with GCF Formula

Least Common Multiple of 21,58,217 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 21,58,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,58,217) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(21,58,217) x common factors =1 x 7 = 7

LCM(21,58,217) = ( 21 × 58 × 217 ) / 7

LCM(21,58,217) = 264306 / 7

LCM(21,58,217) = 37758


Lets's calculate GCF of 325,150,799

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37758/1

Therefore the LCM of Fractions 21/325,58/150,217/799 is 37758

Greatest Common Factor of 325,150,799 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,150,799 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 799

List of positive integer factors of 799 that divides 799 without a remainder.

1,17,47,799

Greatest Common Factor

We found the factors 325,150,799 . The biggest common factor number is the GCF number.
So the greatest common factor 325,150,799 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 21/325, 58/150, 217/799

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 21/325, 58/150, 217/799?

Answer: LCM of Numerators as per given numbers 21/325, 58/150, 217/799 is

LCM of Numerators i.e. for 21,58,217 is 37758

GCF of denominators i.e. for 325,150,799 is 1.

Thus, LCM of Fractions is 37758.Finally, LCM of Fractions for 21/325, 58/150, 217/799 is 37758.