Least Common Multiple of 456/825, 726/294, 547/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 456/825, 726/294, 547/134 quickly i.e. 30181272 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 456/825, 726/294, 547/134 is 30181272.

LCM(456/825, 726/294, 547/134) = 30181272

LCM of 456/825, 726/294, 547/134

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 456/825,726/294,547/134

Given numbers are 456/825,726/294,547/134

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 456,726,547

Least Common Multiple of Numerators i.e. LCM of 456,726,547 is 30181272.

GCF of Denominators means GCF of 825,294,134 as per the given fractions.

GCF of 825,294,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 456,726,547

LCM of Fractions 456/825,726/294,547/134 is 30181272

2 456, 726, 547
3 228, 363, 547
76, 121, 547

∴ So the LCM of the given numbers is 2 x 3 x 76 x 121 x 547 = 30181272

Least Common Multiple of 456,726,547 with GCF Formula

Least Common Multiple of 456,726,547 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 456,726,547 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,726,547) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(456,726,547) x common factors =1 x 6 = 6

LCM(456,726,547) = ( 456 × 726 × 547 ) / 6

LCM(456,726,547) = 181087632 / 6

LCM(456,726,547) = 30181272


Lets's calculate GCF of 825,294,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30181272/1

Therefore the LCM of Fractions 456/825,726/294,547/134 is 30181272

Greatest Common Factor of 825,294,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 825,294,134 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 294

List of positive integer factors of 294 that divides 294 without a remainder.

1,2,3,6,7,14,21,42,49,98,147,294

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 825,294,134 . The biggest common factor number is the GCF number.
So the greatest common factor 825,294,134 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 456/825, 726/294, 547/134

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 456/825, 726/294, 547/134?

Answer: LCM of Numerators as per given numbers 456/825, 726/294, 547/134 is

LCM of Numerators i.e. for 456,726,547 is 30181272

GCF of denominators i.e. for 825,294,134 is 1.

Thus, LCM of Fractions is 30181272.Finally, LCM of Fractions for 456/825, 726/294, 547/134 is 30181272.