Least Common Multiple of 3152/329, 8649/5680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3152/329, 8649/5680 quickly i.e. 27261648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3152/329, 8649/5680 is 27261648.

LCM(3152/329, 8649/5680) = 27261648

LCM of 3152/329, 8649/5680

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 3152/329,8649/5680

Given numbers are 3152/329,8649/5680

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 3152,8649

Least Common Multiple of Numerators i.e. LCM of 3152,8649 is 27261648.

GCF of Denominators means GCF of 329,5680 as per the given fractions.

GCF of 329,5680 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3152,8649

LCM of Fractions 3152/329,8649/5680 is 27261648

Given numbers has no common factors except 1. So, there LCM is their product i.e 27261648

Least Common Multiple of 3152,8649 with GCF Formula

Least Common Multiple of 3152,8649 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 3152,8649 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3152,8649) = 1

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

GCF(3152,8649) x common factors =1 x 1 = 1

LCM(3152,8649) = ( 3152 × 8649 ) / 1

LCM(3152,8649) = 27261648 / 1

LCM(3152,8649) = 27261648


Lets's calculate GCF of 329,5680

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27261648/1

Therefore the LCM of Fractions 3152/329,8649/5680 is 27261648

Greatest Common Factor of 329,5680 By Matching Biggest Common Factor Method

Greatest Common Factor of 329,5680 By Matching Biggest Common Factor Method

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Factors of 5680

List of positive integer factors of 5680 that divides 5680 without a remainder.

1,2,4,5,8,10,16,20,40,71,80,142,284,355,568,710,1136,1420,2840,5680

Greatest Common Factor

We found the factors 329,5680 . The biggest common factor number is the GCF number.
So the greatest common factor 329,5680 is 1.


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 3152/329, 8649/5680

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 3152/329, 8649/5680?

Answer: LCM of Numerators as per given numbers 3152/329, 8649/5680 is

LCM of Numerators i.e. for 3152,8649 is 27261648

GCF of denominators i.e. for 329,5680 is 1.

Thus, LCM of Fractions is 27261648.Finally, LCM of Fractions for 3152/329, 8649/5680 is 27261648.