Least Common Multiple of 2746/32, 1585/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2746/32, 1585/264 quickly i.e. 4352410/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2746/32, 1585/264 is 4352410/8.

LCM(2746/32, 1585/264) = 4352410/8

LCM of 2746/32, 1585/264

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 2746/32,1585/264

Given numbers are 2746/32,1585/264

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 2746,1585

Least Common Multiple of Numerators i.e. LCM of 2746,1585 is 4352410.

GCF of Denominators means GCF of 32,264 as per the given fractions.

GCF of 32,264 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2746,1585

LCM of Fractions 2746/32,1585/264 is 4352410/8

Given numbers has no common factors except 1. So, there LCM is their product i.e 4352410

Least Common Multiple of 2746,1585 with GCF Formula

Least Common Multiple of 2746,1585 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 2746,1585 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2746,1585) = 1

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

GCF(2746,1585) x common factors =1 x 1 = 1

LCM(2746,1585) = ( 2746 × 1585 ) / 1

LCM(2746,1585) = 4352410 / 1

LCM(2746,1585) = 4352410


Lets's calculate GCF of 32,264

2 32, 264
2 16, 132
2 8, 66
4, 33

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4352410/8

Therefore the LCM of Fractions 2746/32,1585/264 is 4352410/8

Greatest Common Factor of 32,264 By Matching Biggest Common Factor Method

Greatest Common Factor of 32,264 By Matching Biggest Common Factor Method

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Greatest Common Factor

We found the factors 32,264 . The biggest common factor number is the GCF number.
So the greatest common factor 32,264 is 8.


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 2746/32, 1585/264

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 2746/32, 1585/264?

Answer: LCM of Numerators as per given numbers 2746/32, 1585/264 is

LCM of Numerators i.e. for 2746,1585 is 4352410

GCF of denominators i.e. for 32,264 is 8.

Thus, LCM of Fractions is 4352410/8.Finally, LCM of Fractions for 2746/32, 1585/264 is 4352410/8.