Least Common Multiple of 4327/325, 8702/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4327/325, 8702/175 quickly i.e. 37653554/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4327/325, 8702/175 is 37653554/25.

LCM(4327/325, 8702/175) = 37653554/25

LCM of 4327/325, 8702/175

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 4327/325,8702/175

Given numbers are 4327/325,8702/175

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 4327,8702

Least Common Multiple of Numerators i.e. LCM of 4327,8702 is 37653554.

GCF of Denominators means GCF of 325,175 as per the given fractions.

GCF of 325,175 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4327,8702

LCM of Fractions 4327/325,8702/175 is 37653554/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 37653554

Least Common Multiple of 4327,8702 with GCF Formula

Least Common Multiple of 4327,8702 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 4327,8702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4327,8702) = 1

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

GCF(4327,8702) x common factors =1 x 1 = 1

LCM(4327,8702) = ( 4327 × 8702 ) / 1

LCM(4327,8702) = 37653554 / 1

LCM(4327,8702) = 37653554


Lets's calculate GCF of 325,175

5 325, 175
5 65, 35
13, 7

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37653554/25

Therefore the LCM of Fractions 4327/325,8702/175 is 37653554/25

Greatest Common Factor of 325,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,175 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

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 325,175 . The biggest common factor number is the GCF number.
So the greatest common factor 325,175 is 25.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 4327/325, 8702/175

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 4327/325, 8702/175?

Answer: LCM of Numerators as per given numbers 4327/325, 8702/175 is

LCM of Numerators i.e. for 4327,8702 is 37653554

GCF of denominators i.e. for 325,175 is 25.

Thus, LCM of Fractions is 37653554/25.Finally, LCM of Fractions for 4327/325, 8702/175 is 37653554/25.