Least Common Multiple of 501/68, 458/55, 172/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/68, 458/55, 172/826 quickly i.e. 19733388 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/68, 458/55, 172/826 is 19733388.

LCM(501/68, 458/55, 172/826) = 19733388

LCM of 501/68, 458/55, 172/826

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 501/68,458/55,172/826

Given numbers are 501/68,458/55,172/826

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 501,458,172

Least Common Multiple of Numerators i.e. LCM of 501,458,172 is 19733388.

GCF of Denominators means GCF of 68,55,826 as per the given fractions.

GCF of 68,55,826 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,458,172

LCM of Fractions 501/68,458/55,172/826 is 19733388

2 501, 458, 172
501, 229, 86

∴ So the LCM of the given numbers is 2 x 501 x 229 x 86 = 19733388

Least Common Multiple of 501,458,172 with GCF Formula

Least Common Multiple of 501,458,172 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 501,458,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,458,172) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(501,458,172) x common factors =1 x 2 = 2

LCM(501,458,172) = ( 501 × 458 × 172 ) / 2

LCM(501,458,172) = 39466776 / 2

LCM(501,458,172) = 19733388


Lets's calculate GCF of 68,55,826

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19733388/1

Therefore the LCM of Fractions 501/68,458/55,172/826 is 19733388

Greatest Common Factor of 68,55,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,55,826 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 68,55,826 . The biggest common factor number is the GCF number.
So the greatest common factor 68,55,826 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 501/68, 458/55, 172/826

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 501/68, 458/55, 172/826?

Answer: LCM of Numerators as per given numbers 501/68, 458/55, 172/826 is

LCM of Numerators i.e. for 501,458,172 is 19733388

GCF of denominators i.e. for 68,55,826 is 1.

Thus, LCM of Fractions is 19733388.Finally, LCM of Fractions for 501/68, 458/55, 172/826 is 19733388.