Least Common Multiple of 74/261, 7347/1075

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/261, 7347/1075 quickly i.e. 543678 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/261, 7347/1075 is 543678.

LCM(74/261, 7347/1075) = 543678

LCM of 74/261, 7347/1075

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 74/261,7347/1075

Given numbers are 74/261,7347/1075

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 74,7347

Least Common Multiple of Numerators i.e. LCM of 74,7347 is 543678.

GCF of Denominators means GCF of 261,1075 as per the given fractions.

GCF of 261,1075 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,7347

LCM of Fractions 74/261,7347/1075 is 543678

Given numbers has no common factors except 1. So, there LCM is their product i.e 543678

Least Common Multiple of 74,7347 with GCF Formula

Least Common Multiple of 74,7347 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 74,7347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,7347) = 1

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

GCF(74,7347) x common factors =1 x 1 = 1

LCM(74,7347) = ( 74 × 7347 ) / 1

LCM(74,7347) = 543678 / 1

LCM(74,7347) = 543678


Lets's calculate GCF of 261,1075

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 543678/1

Therefore the LCM of Fractions 74/261,7347/1075 is 543678

Greatest Common Factor of 261,1075 By Matching Biggest Common Factor Method

Greatest Common Factor of 261,1075 By Matching Biggest Common Factor Method

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Factors of 1075

List of positive integer factors of 1075 that divides 1075 without a remainder.

1,5,25,43,215,1075

Greatest Common Factor

We found the factors 261,1075 . The biggest common factor number is the GCF number.
So the greatest common factor 261,1075 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 74/261, 7347/1075

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 74/261, 7347/1075?

Answer: LCM of Numerators as per given numbers 74/261, 7347/1075 is

LCM of Numerators i.e. for 74,7347 is 543678

GCF of denominators i.e. for 261,1075 is 1.

Thus, LCM of Fractions is 543678.Finally, LCM of Fractions for 74/261, 7347/1075 is 543678.