Least Common Multiple of 494/88, 375/3270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/88, 375/3270 quickly i.e. 92625 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/88, 375/3270 is 92625.

LCM(494/88, 375/3270) = 92625

LCM of 494/88, 375/3270

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 494/88,375/3270

Given numbers are 494/88,375/3270

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 494,375

Least Common Multiple of Numerators i.e. LCM of 494,375 is 185250.

GCF of Denominators means GCF of 88,3270 as per the given fractions.

GCF of 88,3270 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,375

LCM of Fractions 494/88,375/3270 is 92625

Given numbers has no common factors except 1. So, there LCM is their product i.e 185250

Least Common Multiple of 494,375 with GCF Formula

Least Common Multiple of 494,375 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 494,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,375) = 1

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

GCF(494,375) x common factors =1 x 1 = 1

LCM(494,375) = ( 494 × 375 ) / 1

LCM(494,375) = 185250 / 1

LCM(494,375) = 185250


Lets's calculate GCF of 88,3270

2 88, 3270
44, 1635

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 185250/2

Therefore the LCM of Fractions 494/88,375/3270 is 92625

Greatest Common Factor of 88,3270 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,3270 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 3270

List of positive integer factors of 3270 that divides 3270 without a remainder.

1,2,3,5,6,10,15,30,109,218,327,545,654,1090,1635,3270

Greatest Common Factor

We found the factors 88,3270 . The biggest common factor number is the GCF number.
So the greatest common factor 88,3270 is 2.


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 494/88, 375/3270

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 494/88, 375/3270?

Answer: LCM of Numerators as per given numbers 494/88, 375/3270 is

LCM of Numerators i.e. for 494,375 is 185250

GCF of denominators i.e. for 88,3270 is 2.

Thus, LCM of Fractions is 92625.Finally, LCM of Fractions for 494/88, 375/3270 is 92625.