Least Common Multiple of 537/78, 226/27, 322/946

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/78, 226/27, 322/946 quickly i.e. 19539282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/78, 226/27, 322/946 is 19539282.

LCM(537/78, 226/27, 322/946) = 19539282

LCM of 537/78, 226/27, 322/946

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 537/78,226/27,322/946

Given numbers are 537/78,226/27,322/946

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 537,226,322

Least Common Multiple of Numerators i.e. LCM of 537,226,322 is 19539282.

GCF of Denominators means GCF of 78,27,946 as per the given fractions.

GCF of 78,27,946 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,226,322

LCM of Fractions 537/78,226/27,322/946 is 19539282

2 537, 226, 322
537, 113, 161

∴ So the LCM of the given numbers is 2 x 537 x 113 x 161 = 19539282

Least Common Multiple of 537,226,322 with GCF Formula

Least Common Multiple of 537,226,322 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 537,226,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,226,322) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(537,226,322) x common factors =1 x 2 = 2

LCM(537,226,322) = ( 537 × 226 × 322 ) / 2

LCM(537,226,322) = 39078564 / 2

LCM(537,226,322) = 19539282


Lets's calculate GCF of 78,27,946

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19539282/1

Therefore the LCM of Fractions 537/78,226/27,322/946 is 19539282

Greatest Common Factor of 78,27,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,27,946 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 78,27,946 . The biggest common factor number is the GCF number.
So the greatest common factor 78,27,946 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 537/78, 226/27, 322/946

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 537/78, 226/27, 322/946?

Answer: LCM of Numerators as per given numbers 537/78, 226/27, 322/946 is

LCM of Numerators i.e. for 537,226,322 is 19539282

GCF of denominators i.e. for 78,27,946 is 1.

Thus, LCM of Fractions is 19539282.Finally, LCM of Fractions for 537/78, 226/27, 322/946 is 19539282.