Least Common Multiple of 790/74, 234/40, 800/879

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 790/74, 234/40, 800/879 quickly i.e. 7394400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/74, 234/40, 800/879 is 7394400.

LCM(790/74, 234/40, 800/879) = 7394400

LCM of 790/74, 234/40, 800/879

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 790/74,234/40,800/879

Given numbers are 790/74,234/40,800/879

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 790,234,800

Least Common Multiple of Numerators i.e. LCM of 790,234,800 is 7394400.

GCF of Denominators means GCF of 74,40,879 as per the given fractions.

GCF of 74,40,879 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,234,800

LCM of Fractions 790/74,234/40,800/879 is 7394400

2 790, 234, 800
5 395, 117, 400
79, 117, 80

∴ So the LCM of the given numbers is 2 x 5 x 79 x 117 x 80 = 7394400

Least Common Multiple of 790,234,800 with GCF Formula

Least Common Multiple of 790,234,800 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 790,234,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,234,800) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(790,234,800) x common factors =2 x 10 = 20

LCM(790,234,800) = ( 790 × 234 × 800 ) / 20

LCM(790,234,800) = 147888000 / 20

LCM(790,234,800) = 7394400


Lets's calculate GCF of 74,40,879

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7394400/1

Therefore the LCM of Fractions 790/74,234/40,800/879 is 7394400

Greatest Common Factor of 74,40,879 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,40,879 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

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 879

List of positive integer factors of 879 that divides 879 without a remainder.

1,3,293,879

Greatest Common Factor

We found the factors 74,40,879 . The biggest common factor number is the GCF number.
So the greatest common factor 74,40,879 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 790/74, 234/40, 800/879

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 790/74, 234/40, 800/879?

Answer: LCM of Numerators as per given numbers 790/74, 234/40, 800/879 is

LCM of Numerators i.e. for 790,234,800 is 7394400

GCF of denominators i.e. for 74,40,879 is 1.

Thus, LCM of Fractions is 7394400.Finally, LCM of Fractions for 790/74, 234/40, 800/879 is 7394400.