Least Common Multiple of 553/75, 175/5188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 553/75, 175/5188 quickly i.e. 13825 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 553/75, 175/5188 is 13825.

LCM(553/75, 175/5188) = 13825

LCM of 553/75, 175/5188

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 553/75,175/5188

Given numbers are 553/75,175/5188

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 553,175

Least Common Multiple of Numerators i.e. LCM of 553,175 is 13825.

GCF of Denominators means GCF of 75,5188 as per the given fractions.

GCF of 75,5188 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 553,175

LCM of Fractions 553/75,175/5188 is 13825

7 553, 175
79, 25

∴ So the LCM of the given numbers is 7 x 79 x 25 = 13825

Least Common Multiple of 553,175 with GCF Formula

Least Common Multiple of 553,175 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 553,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(553,175) = 7

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

GCF(553,175) x common factors =7 x 1 = 7

LCM(553,175) = ( 553 × 175 ) / 7

LCM(553,175) = 96775 / 7

LCM(553,175) = 13825


Lets's calculate GCF of 75,5188

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13825/1

Therefore the LCM of Fractions 553/75,175/5188 is 13825

Greatest Common Factor of 75,5188 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,5188 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 5188

List of positive integer factors of 5188 that divides 5188 without a remainder.

1,2,4,1297,2594,5188

Greatest Common Factor

We found the factors 75,5188 . The biggest common factor number is the GCF number.
So the greatest common factor 75,5188 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 553/75, 175/5188

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 553/75, 175/5188?

Answer: LCM of Numerators as per given numbers 553/75, 175/5188 is

LCM of Numerators i.e. for 553,175 is 13825

GCF of denominators i.e. for 75,5188 is 1.

Thus, LCM of Fractions is 13825.Finally, LCM of Fractions for 553/75, 175/5188 is 13825.