Least Common Multiple of 234/93, 546/56, 216/592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/93, 546/56, 216/592 quickly i.e. 19656 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/93, 546/56, 216/592 is 19656.

LCM(234/93, 546/56, 216/592) = 19656

LCM of 234/93, 546/56, 216/592

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 234/93,546/56,216/592

Given numbers are 234/93,546/56,216/592

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 234,546,216

Least Common Multiple of Numerators i.e. LCM of 234,546,216 is 19656.

GCF of Denominators means GCF of 93,56,592 as per the given fractions.

GCF of 93,56,592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,546,216

LCM of Fractions 234/93,546/56,216/592 is 19656

2 234, 546, 216
3 117, 273, 108
3 39, 91, 36
13 13, 91, 12
1, 7, 12

∴ So the LCM of the given numbers is 2 x 3 x 3 x 13 x 1 x 7 x 12 = 19656

Least Common Multiple of 234,546,216 with GCF Formula

Least Common Multiple of 234,546,216 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 234,546,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,546,216) = 6

common factors(in case of two or more numbers have common factors) = 234

GCF(234,546,216) x common factors =6 x 234 = 1404

LCM(234,546,216) = ( 234 × 546 × 216 ) / 1404

LCM(234,546,216) = 27597024 / 1404

LCM(234,546,216) = 19656


Lets's calculate GCF of 93,56,592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19656/1

Therefore the LCM of Fractions 234/93,546/56,216/592 is 19656

Greatest Common Factor of 93,56,592 By Matching Biggest Common Factor Method

Greatest Common Factor of 93,56,592 By Matching Biggest Common Factor Method

Factors of 93

List of positive integer factors of 93 that divides 93 without a remainder.

1,3,31,93

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors 93,56,592 . The biggest common factor number is the GCF number.
So the greatest common factor 93,56,592 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 234/93, 546/56, 216/592

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 234/93, 546/56, 216/592?

Answer: LCM of Numerators as per given numbers 234/93, 546/56, 216/592 is

LCM of Numerators i.e. for 234,546,216 is 19656

GCF of denominators i.e. for 93,56,592 is 1.

Thus, LCM of Fractions is 19656.Finally, LCM of Fractions for 234/93, 546/56, 216/592 is 19656.