Least Common Multiple of 40/787, 742/783, 906/469

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/787, 742/783, 906/469 quickly i.e. 6722520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/787, 742/783, 906/469 is 6722520.

LCM(40/787, 742/783, 906/469) = 6722520

LCM of 40/787, 742/783, 906/469

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 40/787,742/783,906/469

Given numbers are 40/787,742/783,906/469

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 40,742,906

Least Common Multiple of Numerators i.e. LCM of 40,742,906 is 6722520.

GCF of Denominators means GCF of 787,783,469 as per the given fractions.

GCF of 787,783,469 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,742,906

LCM of Fractions 40/787,742/783,906/469 is 6722520

2 40, 742, 906
20, 371, 453

∴ So the LCM of the given numbers is 2 x 20 x 371 x 453 = 6722520

Least Common Multiple of 40,742,906 with GCF Formula

Least Common Multiple of 40,742,906 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 40,742,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,742,906) = 2

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

GCF(40,742,906) x common factors =2 x 2 = 4

LCM(40,742,906) = ( 40 × 742 × 906 ) / 4

LCM(40,742,906) = 26890080 / 4

LCM(40,742,906) = 6722520


Lets's calculate GCF of 787,783,469

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6722520/1

Therefore the LCM of Fractions 40/787,742/783,906/469 is 6722520

Greatest Common Factor of 787,783,469 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,783,469 By Matching Biggest Common Factor Method

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 783

List of positive integer factors of 783 that divides 783 without a remainder.

1,3,9,27,29,87,261,783

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Greatest Common Factor

We found the factors 787,783,469 . The biggest common factor number is the GCF number.
So the greatest common factor 787,783,469 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 40/787, 742/783, 906/469

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 40/787, 742/783, 906/469?

Answer: LCM of Numerators as per given numbers 40/787, 742/783, 906/469 is

LCM of Numerators i.e. for 40,742,906 is 6722520

GCF of denominators i.e. for 787,783,469 is 1.

Thus, LCM of Fractions is 6722520.Finally, LCM of Fractions for 40/787, 742/783, 906/469 is 6722520.