Least Common Multiple of 501/78, 458/7164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/78, 458/7164 quickly i.e. 38243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/78, 458/7164 is 38243.

LCM(501/78, 458/7164) = 38243

LCM of 501/78, 458/7164

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 501/78,458/7164

Given numbers are 501/78,458/7164

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 501,458

Least Common Multiple of Numerators i.e. LCM of 501,458 is 229458.

GCF of Denominators means GCF of 78,7164 as per the given fractions.

GCF of 78,7164 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,458

LCM of Fractions 501/78,458/7164 is 38243

Given numbers has no common factors except 1. So, there LCM is their product i.e 229458

Least Common Multiple of 501,458 with GCF Formula

Least Common Multiple of 501,458 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 501,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,458) = 1

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

GCF(501,458) x common factors =1 x 1 = 1

LCM(501,458) = ( 501 × 458 ) / 1

LCM(501,458) = 229458 / 1

LCM(501,458) = 229458


Lets's calculate GCF of 78,7164

2 78, 7164
3 39, 3582
13, 1194

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 229458/6

Therefore the LCM of Fractions 501/78,458/7164 is 38243

Greatest Common Factor of 78,7164 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,7164 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 7164

List of positive integer factors of 7164 that divides 7164 without a remainder.

1,2,3,4,6,9,12,18,36,199,398,597,796,1194,1791,2388,3582,7164

Greatest Common Factor

We found the factors 78,7164 . The biggest common factor number is the GCF number.
So the greatest common factor 78,7164 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 501/78, 458/7164

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 501/78, 458/7164?

Answer: LCM of Numerators as per given numbers 501/78, 458/7164 is

LCM of Numerators i.e. for 501,458 is 229458

GCF of denominators i.e. for 78,7164 is 6.

Thus, LCM of Fractions is 38243.Finally, LCM of Fractions for 501/78, 458/7164 is 38243.