Least Common Multiple of 228/56, 342/7185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 228/56, 342/7185 quickly i.e. 684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 228/56, 342/7185 is 684.

LCM(228/56, 342/7185) = 684

LCM of 228/56, 342/7185

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 228/56,342/7185

Given numbers are 228/56,342/7185

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 228,342

Least Common Multiple of Numerators i.e. LCM of 228,342 is 684.

GCF of Denominators means GCF of 56,7185 as per the given fractions.

GCF of 56,7185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 228,342

LCM of Fractions 228/56,342/7185 is 684

2 228, 342
3 114, 171
19 38, 57
2, 3

∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 3 = 684

Least Common Multiple of 228,342 with GCF Formula

Least Common Multiple of 228,342 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 228,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(228,342) = 114

common factors(in case of two or more numbers have common factors) = 1

GCF(228,342) x common factors =114 x 1 = 114

LCM(228,342) = ( 228 × 342 ) / 114

LCM(228,342) = 77976 / 114

LCM(228,342) = 684


Lets's calculate GCF of 56,7185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684/1

Therefore the LCM of Fractions 228/56,342/7185 is 684

Greatest Common Factor of 56,7185 By Matching Biggest Common Factor Method

Greatest Common Factor of 56,7185 By Matching Biggest Common Factor Method

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 7185

List of positive integer factors of 7185 that divides 7185 without a remainder.

1,3,5,15,479,1437,2395,7185

Greatest Common Factor

We found the factors 56,7185 . The biggest common factor number is the GCF number.
So the greatest common factor 56,7185 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 228/56, 342/7185

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 228/56, 342/7185?

Answer: LCM of Numerators as per given numbers 228/56, 342/7185 is

LCM of Numerators i.e. for 228,342 is 684

GCF of denominators i.e. for 56,7185 is 1.

Thus, LCM of Fractions is 684.Finally, LCM of Fractions for 228/56, 342/7185 is 684.