Least Common Multiple of 41/874, 2742/2400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/874, 2742/2400 quickly i.e. 56211 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/874, 2742/2400 is 56211.

LCM(41/874, 2742/2400) = 56211

LCM of 41/874, 2742/2400

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 41/874,2742/2400

Given numbers are 41/874,2742/2400

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 41,2742

Least Common Multiple of Numerators i.e. LCM of 41,2742 is 112422.

GCF of Denominators means GCF of 874,2400 as per the given fractions.

GCF of 874,2400 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,2742

LCM of Fractions 41/874,2742/2400 is 56211

Given numbers has no common factors except 1. So, there LCM is their product i.e 112422

Least Common Multiple of 41,2742 with GCF Formula

Least Common Multiple of 41,2742 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 41,2742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,2742) = 1

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

GCF(41,2742) x common factors =1 x 1 = 1

LCM(41,2742) = ( 41 × 2742 ) / 1

LCM(41,2742) = 112422 / 1

LCM(41,2742) = 112422


Lets's calculate GCF of 874,2400

2 874, 2400
437, 1200

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 112422/2

Therefore the LCM of Fractions 41/874,2742/2400 is 56211

Greatest Common Factor of 874,2400 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,2400 By Matching Biggest Common Factor Method

Factors of 874

List of positive integer factors of 874 that divides 874 without a remainder.

1,2,19,23,38,46,437,874

Factors of 2400

List of positive integer factors of 2400 that divides 2400 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,32,40,48,50,60,75,80,96,100,120,150,160,200,240,300,400,480,600,800,1200,2400

Greatest Common Factor

We found the factors 874,2400 . The biggest common factor number is the GCF number.
So the greatest common factor 874,2400 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 41/874, 2742/2400

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 41/874, 2742/2400?

Answer: LCM of Numerators as per given numbers 41/874, 2742/2400 is

LCM of Numerators i.e. for 41,2742 is 112422

GCF of denominators i.e. for 874,2400 is 2.

Thus, LCM of Fractions is 56211.Finally, LCM of Fractions for 41/874, 2742/2400 is 56211.