Least Common Multiple of 744/678, 8666/8240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 744/678, 8666/8240 quickly i.e. 1611876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 744/678, 8666/8240 is 1611876.

LCM(744/678, 8666/8240) = 1611876

LCM of 744/678, 8666/8240

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 744/678,8666/8240

Given numbers are 744/678,8666/8240

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 744,8666

Least Common Multiple of Numerators i.e. LCM of 744,8666 is 3223752.

GCF of Denominators means GCF of 678,8240 as per the given fractions.

GCF of 678,8240 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 744,8666

LCM of Fractions 744/678,8666/8240 is 1611876

2 744, 8666
372, 4333

∴ So the LCM of the given numbers is 2 x 372 x 4333 = 3223752

Least Common Multiple of 744,8666 with GCF Formula

Least Common Multiple of 744,8666 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 744,8666 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,8666) = 2

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

GCF(744,8666) x common factors =2 x 1 = 2

LCM(744,8666) = ( 744 × 8666 ) / 2

LCM(744,8666) = 6447504 / 2

LCM(744,8666) = 3223752


Lets's calculate GCF of 678,8240

2 678, 8240
339, 4120

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3223752/2

Therefore the LCM of Fractions 744/678,8666/8240 is 1611876

Greatest Common Factor of 678,8240 By Matching Biggest Common Factor Method

Greatest Common Factor of 678,8240 By Matching Biggest Common Factor Method

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Factors of 8240

List of positive integer factors of 8240 that divides 8240 without a remainder.

1,2,4,5,8,10,16,20,40,80,103,206,412,515,824,1030,1648,2060,4120,8240

Greatest Common Factor

We found the factors 678,8240 . The biggest common factor number is the GCF number.
So the greatest common factor 678,8240 is 2.


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 744/678, 8666/8240

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 744/678, 8666/8240?

Answer: LCM of Numerators as per given numbers 744/678, 8666/8240 is

LCM of Numerators i.e. for 744,8666 is 3223752

GCF of denominators i.e. for 678,8240 is 2.

Thus, LCM of Fractions is 1611876.Finally, LCM of Fractions for 744/678, 8666/8240 is 1611876.