Least Common Multiple of 534/55, 224/82, 294/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 534/55, 224/82, 294/648 quickly i.e. 418656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 534/55, 224/82, 294/648 is 418656.

LCM(534/55, 224/82, 294/648) = 418656

LCM of 534/55, 224/82, 294/648

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 534/55,224/82,294/648

Given numbers are 534/55,224/82,294/648

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 534,224,294

Least Common Multiple of Numerators i.e. LCM of 534,224,294 is 418656.

GCF of Denominators means GCF of 55,82,648 as per the given fractions.

GCF of 55,82,648 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 534,224,294

LCM of Fractions 534/55,224/82,294/648 is 418656

2 534, 224, 294
3 267, 112, 147
7 89, 112, 49
89, 16, 7

∴ So the LCM of the given numbers is 2 x 3 x 7 x 89 x 16 x 7 = 418656

Least Common Multiple of 534,224,294 with GCF Formula

Least Common Multiple of 534,224,294 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 534,224,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(534,224,294) = 2

common factors(in case of two or more numbers have common factors) = 42

GCF(534,224,294) x common factors =2 x 42 = 84

LCM(534,224,294) = ( 534 × 224 × 294 ) / 84

LCM(534,224,294) = 35167104 / 84

LCM(534,224,294) = 418656


Lets's calculate GCF of 55,82,648

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418656/1

Therefore the LCM of Fractions 534/55,224/82,294/648 is 418656

Greatest Common Factor of 55,82,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,82,648 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 55,82,648 . The biggest common factor number is the GCF number.
So the greatest common factor 55,82,648 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 534/55, 224/82, 294/648

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 534/55, 224/82, 294/648?

Answer: LCM of Numerators as per given numbers 534/55, 224/82, 294/648 is

LCM of Numerators i.e. for 534,224,294 is 418656

GCF of denominators i.e. for 55,82,648 is 1.

Thus, LCM of Fractions is 418656.Finally, LCM of Fractions for 534/55, 224/82, 294/648 is 418656.