Least Common Multiple of 74/801, 69/331, 680/379

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/801, 69/331, 680/379 quickly i.e. 1736040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/801, 69/331, 680/379 is 1736040.

LCM(74/801, 69/331, 680/379) = 1736040

LCM of 74/801, 69/331, 680/379

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 74/801,69/331,680/379

Given numbers are 74/801,69/331,680/379

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 74,69,680

Least Common Multiple of Numerators i.e. LCM of 74,69,680 is 1736040.

GCF of Denominators means GCF of 801,331,379 as per the given fractions.

GCF of 801,331,379 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,69,680

LCM of Fractions 74/801,69/331,680/379 is 1736040

2 74, 69, 680
37, 69, 340

∴ So the LCM of the given numbers is 2 x 37 x 69 x 340 = 1736040

Least Common Multiple of 74,69,680 with GCF Formula

Least Common Multiple of 74,69,680 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 74,69,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,69,680) = 1

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

GCF(74,69,680) x common factors =1 x 2 = 2

LCM(74,69,680) = ( 74 × 69 × 680 ) / 2

LCM(74,69,680) = 3472080 / 2

LCM(74,69,680) = 1736040


Lets's calculate GCF of 801,331,379

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1736040/1

Therefore the LCM of Fractions 74/801,69/331,680/379 is 1736040

Greatest Common Factor of 801,331,379 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,331,379 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1,379

Greatest Common Factor

We found the factors 801,331,379 . The biggest common factor number is the GCF number.
So the greatest common factor 801,331,379 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 74/801, 69/331, 680/379

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 74/801, 69/331, 680/379?

Answer: LCM of Numerators as per given numbers 74/801, 69/331, 680/379 is

LCM of Numerators i.e. for 74,69,680 is 1736040

GCF of denominators i.e. for 801,331,379 is 1.

Thus, LCM of Fractions is 1736040.Finally, LCM of Fractions for 74/801, 69/331, 680/379 is 1736040.