Least Common Multiple of 4232/258, 3460/123

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4232/258, 3460/123 quickly i.e. 3660680/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4232/258, 3460/123 is 3660680/3.

LCM(4232/258, 3460/123) = 3660680/3

LCM of 4232/258, 3460/123

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 4232/258,3460/123

Given numbers are 4232/258,3460/123

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 4232,3460

Least Common Multiple of Numerators i.e. LCM of 4232,3460 is 3660680.

GCF of Denominators means GCF of 258,123 as per the given fractions.

GCF of 258,123 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4232,3460

LCM of Fractions 4232/258,3460/123 is 3660680/3

2 4232, 3460
2 2116, 1730
1058, 865

∴ So the LCM of the given numbers is 2 x 2 x 1058 x 865 = 3660680

Least Common Multiple of 4232,3460 with GCF Formula

Least Common Multiple of 4232,3460 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 4232,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4232,3460) = 4

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

GCF(4232,3460) x common factors =4 x 1 = 4

LCM(4232,3460) = ( 4232 × 3460 ) / 4

LCM(4232,3460) = 14642720 / 4

LCM(4232,3460) = 3660680


Lets's calculate GCF of 258,123

3 258, 123
86, 41

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3660680/3

Therefore the LCM of Fractions 4232/258,3460/123 is 3660680/3

Greatest Common Factor of 258,123 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,123 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Greatest Common Factor

We found the factors 258,123 . The biggest common factor number is the GCF number.
So the greatest common factor 258,123 is 3.


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 4232/258, 3460/123

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 4232/258, 3460/123?

Answer: LCM of Numerators as per given numbers 4232/258, 3460/123 is

LCM of Numerators i.e. for 4232,3460 is 3660680

GCF of denominators i.e. for 258,123 is 3.

Thus, LCM of Fractions is 3660680/3.Finally, LCM of Fractions for 4232/258, 3460/123 is 3660680/3.