Least Common Multiple of 566/437, 2912/120

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 566/437, 2912/120 quickly i.e. 824096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 566/437, 2912/120 is 824096.

LCM(566/437, 2912/120) = 824096

LCM of 566/437, 2912/120

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 566/437,2912/120

Given numbers are 566/437,2912/120

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 566,2912

Least Common Multiple of Numerators i.e. LCM of 566,2912 is 824096.

GCF of Denominators means GCF of 437,120 as per the given fractions.

GCF of 437,120 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 566,2912

LCM of Fractions 566/437,2912/120 is 824096

2 566, 2912
283, 1456

∴ So the LCM of the given numbers is 2 x 283 x 1456 = 824096

Least Common Multiple of 566,2912 with GCF Formula

Least Common Multiple of 566,2912 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 566,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(566,2912) = 2

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

GCF(566,2912) x common factors =2 x 1 = 2

LCM(566,2912) = ( 566 × 2912 ) / 2

LCM(566,2912) = 1648192 / 2

LCM(566,2912) = 824096


Lets's calculate GCF of 437,120

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 824096/1

Therefore the LCM of Fractions 566/437,2912/120 is 824096

Greatest Common Factor of 437,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 437,120 By Matching Biggest Common Factor Method

Factors of 437

List of positive integer factors of 437 that divides 437 without a remainder.

1,19,23,437

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 437,120 . The biggest common factor number is the GCF number.
So the greatest common factor 437,120 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 566/437, 2912/120

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 566/437, 2912/120?

Answer: LCM of Numerators as per given numbers 566/437, 2912/120 is

LCM of Numerators i.e. for 566,2912 is 824096

GCF of denominators i.e. for 437,120 is 1.

Thus, LCM of Fractions is 824096.Finally, LCM of Fractions for 566/437, 2912/120 is 824096.