Least Common Multiple of 8231/985, 3576/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 8231/985, 3576/872 quickly i.e. 29434056 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8231/985, 3576/872 is 29434056.

LCM(8231/985, 3576/872) = 29434056

LCM of 8231/985, 3576/872

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 8231/985,3576/872

Given numbers are 8231/985,3576/872

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 8231,3576

Least Common Multiple of Numerators i.e. LCM of 8231,3576 is 29434056.

GCF of Denominators means GCF of 985,872 as per the given fractions.

GCF of 985,872 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8231,3576

LCM of Fractions 8231/985,3576/872 is 29434056

Given numbers has no common factors except 1. So, there LCM is their product i.e 29434056

Least Common Multiple of 8231,3576 with GCF Formula

Least Common Multiple of 8231,3576 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 8231,3576 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8231,3576) = 1

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

GCF(8231,3576) x common factors =1 x 1 = 1

LCM(8231,3576) = ( 8231 × 3576 ) / 1

LCM(8231,3576) = 29434056 / 1

LCM(8231,3576) = 29434056


Lets's calculate GCF of 985,872

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29434056/1

Therefore the LCM of Fractions 8231/985,3576/872 is 29434056

Greatest Common Factor of 985,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 985,872 By Matching Biggest Common Factor Method

Factors of 985

List of positive integer factors of 985 that divides 985 without a remainder.

1,5,197,985

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 985,872 . The biggest common factor number is the GCF number.
So the greatest common factor 985,872 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 8231/985, 3576/872

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 8231/985, 3576/872?

Answer: LCM of Numerators as per given numbers 8231/985, 3576/872 is

LCM of Numerators i.e. for 8231,3576 is 29434056

GCF of denominators i.e. for 985,872 is 1.

Thus, LCM of Fractions is 29434056.Finally, LCM of Fractions for 8231/985, 3576/872 is 29434056.