Least Common Multiple of 403/136, 248/500, 363/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 403/136, 248/500, 363/175 quickly i.e. 1170312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 403/136, 248/500, 363/175 is 1170312.

LCM(403/136, 248/500, 363/175) = 1170312

LCM of 403/136, 248/500, 363/175

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 403/136,248/500,363/175

Given numbers are 403/136,248/500,363/175

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 403,248,363

Least Common Multiple of Numerators i.e. LCM of 403,248,363 is 1170312.

GCF of Denominators means GCF of 136,500,175 as per the given fractions.

GCF of 136,500,175 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 403,248,363

LCM of Fractions 403/136,248/500,363/175 is 1170312

31 403, 248, 363
13, 8, 363

∴ So the LCM of the given numbers is 31 x 13 x 8 x 363 = 1170312

Least Common Multiple of 403,248,363 with GCF Formula

Least Common Multiple of 403,248,363 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 403,248,363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(403,248,363) = 1

common factors(in case of two or more numbers have common factors) = 31

GCF(403,248,363) x common factors =1 x 31 = 31

LCM(403,248,363) = ( 403 × 248 × 363 ) / 31

LCM(403,248,363) = 36279672 / 31

LCM(403,248,363) = 1170312


Lets's calculate GCF of 136,500,175

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170312/1

Therefore the LCM of Fractions 403/136,248/500,363/175 is 1170312

Greatest Common Factor of 136,500,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,500,175 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 500

List of positive integer factors of 500 that divides 500 without a remainder.

1,2,4,5,10,20,25,50,100,125,250,500

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 136,500,175 . The biggest common factor number is the GCF number.
So the greatest common factor 136,500,175 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 403/136, 248/500, 363/175

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 403/136, 248/500, 363/175?

Answer: LCM of Numerators as per given numbers 403/136, 248/500, 363/175 is

LCM of Numerators i.e. for 403,248,363 is 1170312

GCF of denominators i.e. for 136,500,175 is 1.

Thus, LCM of Fractions is 1170312.Finally, LCM of Fractions for 403/136, 248/500, 363/175 is 1170312.