Least Common Multiple of 424/744, 8217/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 424/744, 8217/930 quickly i.e. 3484008/186 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 424/744, 8217/930 is 3484008/186.

LCM(424/744, 8217/930) = 3484008/186

LCM of 424/744, 8217/930

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 424/744,8217/930

Given numbers are 424/744,8217/930

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 424,8217

Least Common Multiple of Numerators i.e. LCM of 424,8217 is 3484008.

GCF of Denominators means GCF of 744,930 as per the given fractions.

GCF of 744,930 is 186 as it is the largest common factor for these numbers.

Lets's calculate LCM of 424,8217

LCM of Fractions 424/744,8217/930 is 3484008/186

Given numbers has no common factors except 1. So, there LCM is their product i.e 3484008

Least Common Multiple of 424,8217 with GCF Formula

Least Common Multiple of 424,8217 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 424,8217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,8217) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(424,8217) x common factors =1 x 1 = 1

LCM(424,8217) = ( 424 × 8217 ) / 1

LCM(424,8217) = 3484008 / 1

LCM(424,8217) = 3484008


Lets's calculate GCF of 744,930

2 744, 930
3 372, 465
31 124, 155
4, 5

∴ So the GCF of the given numbers is 2 x 3 x 31 = 186

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3484008/186

Therefore the LCM of Fractions 424/744,8217/930 is 3484008/186

Greatest Common Factor of 744,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,930 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Greatest Common Factor

We found the factors 744,930 . The biggest common factor number is the GCF number.
So the greatest common factor 744,930 is 186.


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 424/744, 8217/930

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 424/744, 8217/930?

Answer: LCM of Numerators as per given numbers 424/744, 8217/930 is

LCM of Numerators i.e. for 424,8217 is 3484008

GCF of denominators i.e. for 744,930 is 186.

Thus, LCM of Fractions is 3484008/186.Finally, LCM of Fractions for 424/744, 8217/930 is 3484008/186.