Least Common Multiple of 40/424, 782/527, 681/508

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/424, 782/527, 681/508 quickly i.e. 10650840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/424, 782/527, 681/508 is 10650840.

LCM(40/424, 782/527, 681/508) = 10650840

LCM of 40/424, 782/527, 681/508

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 40/424,782/527,681/508

Given numbers are 40/424,782/527,681/508

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 40,782,681

Least Common Multiple of Numerators i.e. LCM of 40,782,681 is 10650840.

GCF of Denominators means GCF of 424,527,508 as per the given fractions.

GCF of 424,527,508 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,782,681

LCM of Fractions 40/424,782/527,681/508 is 10650840

2 40, 782, 681
20, 391, 681

∴ So the LCM of the given numbers is 2 x 20 x 391 x 681 = 10650840

Least Common Multiple of 40,782,681 with GCF Formula

Least Common Multiple of 40,782,681 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 40,782,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,782,681) = 1

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

GCF(40,782,681) x common factors =1 x 2 = 2

LCM(40,782,681) = ( 40 × 782 × 681 ) / 2

LCM(40,782,681) = 21301680 / 2

LCM(40,782,681) = 10650840


Lets's calculate GCF of 424,527,508

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10650840/1

Therefore the LCM of Fractions 40/424,782/527,681/508 is 10650840

Greatest Common Factor of 424,527,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,527,508 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 508

List of positive integer factors of 508 that divides 508 without a remainder.

1,2,4,127,254,508

Greatest Common Factor

We found the factors 424,527,508 . The biggest common factor number is the GCF number.
So the greatest common factor 424,527,508 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 40/424, 782/527, 681/508

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 40/424, 782/527, 681/508?

Answer: LCM of Numerators as per given numbers 40/424, 782/527, 681/508 is

LCM of Numerators i.e. for 40,782,681 is 10650840

GCF of denominators i.e. for 424,527,508 is 1.

Thus, LCM of Fractions is 10650840.Finally, LCM of Fractions for 40/424, 782/527, 681/508 is 10650840.