Least Common Multiple of 315/825, 722/159, 861/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 315/825, 722/159, 861/214 quickly i.e. 9324630 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 315/825, 722/159, 861/214 is 9324630.

LCM(315/825, 722/159, 861/214) = 9324630

LCM of 315/825, 722/159, 861/214

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 315/825,722/159,861/214

Given numbers are 315/825,722/159,861/214

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 315,722,861

Least Common Multiple of Numerators i.e. LCM of 315,722,861 is 9324630.

GCF of Denominators means GCF of 825,159,214 as per the given fractions.

GCF of 825,159,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 315,722,861

LCM of Fractions 315/825,722/159,861/214 is 9324630

3 315, 722, 861
7 105, 722, 287
15, 722, 41

∴ So the LCM of the given numbers is 3 x 7 x 15 x 722 x 41 = 9324630

Least Common Multiple of 315,722,861 with GCF Formula

Least Common Multiple of 315,722,861 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 315,722,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,722,861) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(315,722,861) x common factors =1 x 21 = 21

LCM(315,722,861) = ( 315 × 722 × 861 ) / 21

LCM(315,722,861) = 195817230 / 21

LCM(315,722,861) = 9324630


Lets's calculate GCF of 825,159,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9324630/1

Therefore the LCM of Fractions 315/825,722/159,861/214 is 9324630

Greatest Common Factor of 825,159,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,159,214 By Matching Biggest Common Factor Method

Factors of 825

List of positive integer factors of 825 that divides 825 without a remainder.

1,3,5,11,15,25,33,55,75,165,275,825

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 825,159,214 . The biggest common factor number is the GCF number.
So the greatest common factor 825,159,214 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 315/825, 722/159, 861/214

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 315/825, 722/159, 861/214?

Answer: LCM of Numerators as per given numbers 315/825, 722/159, 861/214 is

LCM of Numerators i.e. for 315,722,861 is 9324630

GCF of denominators i.e. for 825,159,214 is 1.

Thus, LCM of Fractions is 9324630.Finally, LCM of Fractions for 315/825, 722/159, 861/214 is 9324630.