Least Common Multiple of 325/845, 219/212, 744/948

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 325/845, 219/212, 744/948 quickly i.e. 17651400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 325/845, 219/212, 744/948 is 17651400.

LCM(325/845, 219/212, 744/948) = 17651400

LCM of 325/845, 219/212, 744/948

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 325/845,219/212,744/948

Given numbers are 325/845,219/212,744/948

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 325,219,744

Least Common Multiple of Numerators i.e. LCM of 325,219,744 is 17651400.

GCF of Denominators means GCF of 845,212,948 as per the given fractions.

GCF of 845,212,948 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 325,219,744

LCM of Fractions 325/845,219/212,744/948 is 17651400

3 325, 219, 744
325, 73, 248

∴ So the LCM of the given numbers is 3 x 325 x 73 x 248 = 17651400

Least Common Multiple of 325,219,744 with GCF Formula

Least Common Multiple of 325,219,744 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 325,219,744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,219,744) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(325,219,744) x common factors =1 x 3 = 3

LCM(325,219,744) = ( 325 × 219 × 744 ) / 3

LCM(325,219,744) = 52954200 / 3

LCM(325,219,744) = 17651400


Lets's calculate GCF of 845,212,948

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17651400/1

Therefore the LCM of Fractions 325/845,219/212,744/948 is 17651400

Greatest Common Factor of 845,212,948 By Matching Biggest Common Factor Method

Greatest Common Factor of 845,212,948 By Matching Biggest Common Factor Method

Factors of 845

List of positive integer factors of 845 that divides 845 without a remainder.

1,5,13,65,169,845

Factors of 212

List of positive integer factors of 212 that divides 212 without a remainder.

1,2,4,53,106,212

Factors of 948

List of positive integer factors of 948 that divides 948 without a remainder.

1,2,3,4,6,12,79,158,237,316,474,948

Greatest Common Factor

We found the factors 845,212,948 . The biggest common factor number is the GCF number.
So the greatest common factor 845,212,948 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 325/845, 219/212, 744/948

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 325/845, 219/212, 744/948?

Answer: LCM of Numerators as per given numbers 325/845, 219/212, 744/948 is

LCM of Numerators i.e. for 325,219,744 is 17651400

GCF of denominators i.e. for 845,212,948 is 1.

Thus, LCM of Fractions is 17651400.Finally, LCM of Fractions for 325/845, 219/212, 744/948 is 17651400.