Least Common Multiple of 169/228, 728/677, 112/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 169/228, 728/677, 112/124 quickly i.e. 18928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 169/228, 728/677, 112/124 is 18928.

LCM(169/228, 728/677, 112/124) = 18928

LCM of 169/228, 728/677, 112/124

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 169/228,728/677,112/124

Given numbers are 169/228,728/677,112/124

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 169,728,112

Least Common Multiple of Numerators i.e. LCM of 169,728,112 is 18928.

GCF of Denominators means GCF of 228,677,124 as per the given fractions.

GCF of 228,677,124 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 169,728,112

LCM of Fractions 169/228,728/677,112/124 is 18928

2 169, 728, 112
2 169, 364, 56
2 169, 182, 28
7 169, 91, 14
13 169, 13, 2
1, 13, 2

∴ So the LCM of the given numbers is 2 x 2 x 2 x 7 x 13 x 1 x 13 x 2 = 18928

Least Common Multiple of 169,728,112 with GCF Formula

Least Common Multiple of 169,728,112 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 169,728,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,728,112) = 1

common factors(in case of two or more numbers have common factors) = 728

GCF(169,728,112) x common factors =1 x 728 = 728

LCM(169,728,112) = ( 169 × 728 × 112 ) / 728

LCM(169,728,112) = 13779584 / 728

LCM(169,728,112) = 18928


Lets's calculate GCF of 228,677,124

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18928/1

Therefore the LCM of Fractions 169/228,728/677,112/124 is 18928

Greatest Common Factor of 228,677,124 By Matching Biggest Common Factor Method

Greatest Common Factor of 228,677,124 By Matching Biggest Common Factor Method

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Factors of 677

List of positive integer factors of 677 that divides 677 without a remainder.

1,677

Factors of 124

List of positive integer factors of 124 that divides 124 without a remainder.

1,2,4,31,62,124

Greatest Common Factor

We found the factors 228,677,124 . The biggest common factor number is the GCF number.
So the greatest common factor 228,677,124 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 169/228, 728/677, 112/124

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 169/228, 728/677, 112/124?

Answer: LCM of Numerators as per given numbers 169/228, 728/677, 112/124 is

LCM of Numerators i.e. for 169,728,112 is 18928

GCF of denominators i.e. for 228,677,124 is 1.

Thus, LCM of Fractions is 18928.Finally, LCM of Fractions for 169/228, 728/677, 112/124 is 18928.