Least Common Multiple of 287/740, 763/734, 874/409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/740, 763/734, 874/409 quickly i.e. 27341342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/740, 763/734, 874/409 is 27341342.

LCM(287/740, 763/734, 874/409) = 27341342

LCM of 287/740, 763/734, 874/409

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 287/740,763/734,874/409

Given numbers are 287/740,763/734,874/409

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 287,763,874

Least Common Multiple of Numerators i.e. LCM of 287,763,874 is 27341342.

GCF of Denominators means GCF of 740,734,409 as per the given fractions.

GCF of 740,734,409 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,763,874

LCM of Fractions 287/740,763/734,874/409 is 27341342

7 287, 763, 874
41, 109, 874

∴ So the LCM of the given numbers is 7 x 41 x 109 x 874 = 27341342

Least Common Multiple of 287,763,874 with GCF Formula

Least Common Multiple of 287,763,874 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 287,763,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,763,874) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(287,763,874) x common factors =1 x 7 = 7

LCM(287,763,874) = ( 287 × 763 × 874 ) / 7

LCM(287,763,874) = 191389394 / 7

LCM(287,763,874) = 27341342


Lets's calculate GCF of 740,734,409

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27341342/1

Therefore the LCM of Fractions 287/740,763/734,874/409 is 27341342

Greatest Common Factor of 740,734,409 By Matching Biggest Common Factor Method

Greatest Common Factor of 740,734,409 By Matching Biggest Common Factor Method

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Factors of 409

List of positive integer factors of 409 that divides 409 without a remainder.

1,409

Greatest Common Factor

We found the factors 740,734,409 . The biggest common factor number is the GCF number.
So the greatest common factor 740,734,409 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 287/740, 763/734, 874/409

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 287/740, 763/734, 874/409?

Answer: LCM of Numerators as per given numbers 287/740, 763/734, 874/409 is

LCM of Numerators i.e. for 287,763,874 is 27341342

GCF of denominators i.e. for 740,734,409 is 1.

Thus, LCM of Fractions is 27341342.Finally, LCM of Fractions for 287/740, 763/734, 874/409 is 27341342.