Least Common Multiple of 675/44, 112/2546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 675/44, 112/2546 quickly i.e. 37800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 675/44, 112/2546 is 37800.

LCM(675/44, 112/2546) = 37800

LCM of 675/44, 112/2546

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 675/44,112/2546

Given numbers are 675/44,112/2546

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 675,112

Least Common Multiple of Numerators i.e. LCM of 675,112 is 75600.

GCF of Denominators means GCF of 44,2546 as per the given fractions.

GCF of 44,2546 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 675,112

LCM of Fractions 675/44,112/2546 is 37800

Given numbers has no common factors except 1. So, there LCM is their product i.e 75600

Least Common Multiple of 675,112 with GCF Formula

Least Common Multiple of 675,112 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 675,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(675,112) = 1

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

GCF(675,112) x common factors =1 x 1 = 1

LCM(675,112) = ( 675 × 112 ) / 1

LCM(675,112) = 75600 / 1

LCM(675,112) = 75600


Lets's calculate GCF of 44,2546

2 44, 2546
22, 1273

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 75600/2

Therefore the LCM of Fractions 675/44,112/2546 is 37800

Greatest Common Factor of 44,2546 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,2546 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 2546

List of positive integer factors of 2546 that divides 2546 without a remainder.

1,2,19,38,67,134,1273,2546

Greatest Common Factor

We found the factors 44,2546 . The biggest common factor number is the GCF number.
So the greatest common factor 44,2546 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 675/44, 112/2546

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 675/44, 112/2546?

Answer: LCM of Numerators as per given numbers 675/44, 112/2546 is

LCM of Numerators i.e. for 675,112 is 75600

GCF of denominators i.e. for 44,2546 is 2.

Thus, LCM of Fractions is 37800.Finally, LCM of Fractions for 675/44, 112/2546 is 37800.