Least Common Multiple of 74/40, 39/456, 760/682

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/40, 39/456, 760/682 quickly i.e. 548340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/40, 39/456, 760/682 is 548340.

LCM(74/40, 39/456, 760/682) = 548340

LCM of 74/40, 39/456, 760/682

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 74/40,39/456,760/682

Given numbers are 74/40,39/456,760/682

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 74,39,760

Least Common Multiple of Numerators i.e. LCM of 74,39,760 is 1096680.

GCF of Denominators means GCF of 40,456,682 as per the given fractions.

GCF of 40,456,682 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,39,760

LCM of Fractions 74/40,39/456,760/682 is 548340

2 74, 39, 760
37, 39, 380

∴ So the LCM of the given numbers is 2 x 37 x 39 x 380 = 1096680

Least Common Multiple of 74,39,760 with GCF Formula

Least Common Multiple of 74,39,760 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 74,39,760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,39,760) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,39,760) x common factors =1 x 2 = 2

LCM(74,39,760) = ( 74 × 39 × 760 ) / 2

LCM(74,39,760) = 2193360 / 2

LCM(74,39,760) = 1096680


Lets's calculate GCF of 40,456,682

2 40, 456, 682
20, 228, 341

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1096680/2

Therefore the LCM of Fractions 74/40,39/456,760/682 is 548340

Greatest Common Factor of 40,456,682 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,456,682 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 682

List of positive integer factors of 682 that divides 682 without a remainder.

1,2,11,22,31,62,341,682

Greatest Common Factor

We found the factors 40,456,682 . The biggest common factor number is the GCF number.
So the greatest common factor 40,456,682 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 74/40, 39/456, 760/682

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 74/40, 39/456, 760/682?

Answer: LCM of Numerators as per given numbers 74/40, 39/456, 760/682 is

LCM of Numerators i.e. for 74,39,760 is 1096680

GCF of denominators i.e. for 40,456,682 is 2.

Thus, LCM of Fractions is 548340.Finally, LCM of Fractions for 74/40, 39/456, 760/682 is 548340.