Least Common Multiple of 674/564, 8632/9982

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/564, 8632/9982 quickly i.e. 1454492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/564, 8632/9982 is 1454492.

LCM(674/564, 8632/9982) = 1454492

LCM of 674/564, 8632/9982

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 674/564,8632/9982

Given numbers are 674/564,8632/9982

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 674,8632

Least Common Multiple of Numerators i.e. LCM of 674,8632 is 2908984.

GCF of Denominators means GCF of 564,9982 as per the given fractions.

GCF of 564,9982 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,8632

LCM of Fractions 674/564,8632/9982 is 1454492

2 674, 8632
337, 4316

∴ So the LCM of the given numbers is 2 x 337 x 4316 = 2908984

Least Common Multiple of 674,8632 with GCF Formula

Least Common Multiple of 674,8632 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 674,8632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,8632) = 2

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

GCF(674,8632) x common factors =2 x 1 = 2

LCM(674,8632) = ( 674 × 8632 ) / 2

LCM(674,8632) = 5817968 / 2

LCM(674,8632) = 2908984


Lets's calculate GCF of 564,9982

2 564, 9982
282, 4991

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2908984/2

Therefore the LCM of Fractions 674/564,8632/9982 is 1454492

Greatest Common Factor of 564,9982 By Matching Biggest Common Factor Method

Greatest Common Factor of 564,9982 By Matching Biggest Common Factor Method

Factors of 564

List of positive integer factors of 564 that divides 564 without a remainder.

1,2,3,4,6,12,47,94,141,188,282,564

Factors of 9982

List of positive integer factors of 9982 that divides 9982 without a remainder.

1,2,7,14,23,31,46,62,161,217,322,434,713,1426,4991,9982

Greatest Common Factor

We found the factors 564,9982 . The biggest common factor number is the GCF number.
So the greatest common factor 564,9982 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 674/564, 8632/9982

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 674/564, 8632/9982?

Answer: LCM of Numerators as per given numbers 674/564, 8632/9982 is

LCM of Numerators i.e. for 674,8632 is 2908984

GCF of denominators i.e. for 564,9982 is 2.

Thus, LCM of Fractions is 1454492.Finally, LCM of Fractions for 674/564, 8632/9982 is 1454492.