Least Common Multiple of 58/456, 6180/6234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/456, 6180/6234 quickly i.e. 29870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/456, 6180/6234 is 29870.

LCM(58/456, 6180/6234) = 29870

LCM of 58/456, 6180/6234

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 58/456,6180/6234

Given numbers are 58/456,6180/6234

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 58,6180

Least Common Multiple of Numerators i.e. LCM of 58,6180 is 179220.

GCF of Denominators means GCF of 456,6234 as per the given fractions.

GCF of 456,6234 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,6180

LCM of Fractions 58/456,6180/6234 is 29870

2 58, 6180
29, 3090

∴ So the LCM of the given numbers is 2 x 29 x 3090 = 179220

Least Common Multiple of 58,6180 with GCF Formula

Least Common Multiple of 58,6180 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 58,6180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,6180) = 2

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

GCF(58,6180) x common factors =2 x 1 = 2

LCM(58,6180) = ( 58 × 6180 ) / 2

LCM(58,6180) = 358440 / 2

LCM(58,6180) = 179220


Lets's calculate GCF of 456,6234

2 456, 6234
3 228, 3117
76, 1039

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 179220/6

Therefore the LCM of Fractions 58/456,6180/6234 is 29870

Greatest Common Factor of 456,6234 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,6234 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 6234

List of positive integer factors of 6234 that divides 6234 without a remainder.

1,2,3,6,1039,2078,3117,6234

Greatest Common Factor

We found the factors 456,6234 . The biggest common factor number is the GCF number.
So the greatest common factor 456,6234 is 6.


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 58/456, 6180/6234

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 58/456, 6180/6234?

Answer: LCM of Numerators as per given numbers 58/456, 6180/6234 is

LCM of Numerators i.e. for 58,6180 is 179220

GCF of denominators i.e. for 456,6234 is 6.

Thus, LCM of Fractions is 29870.Finally, LCM of Fractions for 58/456, 6180/6234 is 29870.