Least Common Multiple of 633/88, 375/7257

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 633/88, 375/7257 quickly i.e. 79125 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 633/88, 375/7257 is 79125.

LCM(633/88, 375/7257) = 79125

LCM of 633/88, 375/7257

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 633/88,375/7257

Given numbers are 633/88,375/7257

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 633,375

Least Common Multiple of Numerators i.e. LCM of 633,375 is 79125.

GCF of Denominators means GCF of 88,7257 as per the given fractions.

GCF of 88,7257 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 633,375

LCM of Fractions 633/88,375/7257 is 79125

3 633, 375
211, 125

∴ So the LCM of the given numbers is 3 x 211 x 125 = 79125

Least Common Multiple of 633,375 with GCF Formula

Least Common Multiple of 633,375 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 633,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(633,375) = 3

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

GCF(633,375) x common factors =3 x 1 = 3

LCM(633,375) = ( 633 × 375 ) / 3

LCM(633,375) = 237375 / 3

LCM(633,375) = 79125


Lets's calculate GCF of 88,7257

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79125/1

Therefore the LCM of Fractions 633/88,375/7257 is 79125

Greatest Common Factor of 88,7257 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,7257 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 7257

List of positive integer factors of 7257 that divides 7257 without a remainder.

1,3,41,59,123,177,2419,7257

Greatest Common Factor

We found the factors 88,7257 . The biggest common factor number is the GCF number.
So the greatest common factor 88,7257 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 633/88, 375/7257

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 633/88, 375/7257?

Answer: LCM of Numerators as per given numbers 633/88, 375/7257 is

LCM of Numerators i.e. for 633,375 is 79125

GCF of denominators i.e. for 88,7257 is 1.

Thus, LCM of Fractions is 79125.Finally, LCM of Fractions for 633/88, 375/7257 is 79125.