Least Common Multiple of 790/457, 745/468, 909/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 790/457, 745/468, 909/794 quickly i.e. 106998390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 790/457, 745/468, 909/794 is 106998390.

LCM(790/457, 745/468, 909/794) = 106998390

LCM of 790/457, 745/468, 909/794

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 790/457,745/468,909/794

Given numbers are 790/457,745/468,909/794

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 790,745,909

Least Common Multiple of Numerators i.e. LCM of 790,745,909 is 106998390.

GCF of Denominators means GCF of 457,468,794 as per the given fractions.

GCF of 457,468,794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 790,745,909

LCM of Fractions 790/457,745/468,909/794 is 106998390

5 790, 745, 909
158, 149, 909

∴ So the LCM of the given numbers is 5 x 158 x 149 x 909 = 106998390

Least Common Multiple of 790,745,909 with GCF Formula

Least Common Multiple of 790,745,909 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 790,745,909 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,745,909) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(790,745,909) x common factors =1 x 5 = 5

LCM(790,745,909) = ( 790 × 745 × 909 ) / 5

LCM(790,745,909) = 534991950 / 5

LCM(790,745,909) = 106998390


Lets's calculate GCF of 457,468,794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 106998390/1

Therefore the LCM of Fractions 790/457,745/468,909/794 is 106998390

Greatest Common Factor of 457,468,794 By Matching Biggest Common Factor Method

Greatest Common Factor of 457,468,794 By Matching Biggest Common Factor Method

Factors of 457

List of positive integer factors of 457 that divides 457 without a remainder.

1,457

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 794

List of positive integer factors of 794 that divides 794 without a remainder.

1,2,397,794

Greatest Common Factor

We found the factors 457,468,794 . The biggest common factor number is the GCF number.
So the greatest common factor 457,468,794 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 790/457, 745/468, 909/794

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 790/457, 745/468, 909/794?

Answer: LCM of Numerators as per given numbers 790/457, 745/468, 909/794 is

LCM of Numerators i.e. for 790,745,909 is 106998390

GCF of denominators i.e. for 457,468,794 is 1.

Thus, LCM of Fractions is 106998390.Finally, LCM of Fractions for 790/457, 745/468, 909/794 is 106998390.