Least Common Multiple of 74/614, 7752/8386

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/614, 7752/8386 quickly i.e. 143412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/614, 7752/8386 is 143412.

LCM(74/614, 7752/8386) = 143412

LCM of 74/614, 7752/8386

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 74/614,7752/8386

Given numbers are 74/614,7752/8386

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 74,7752

Least Common Multiple of Numerators i.e. LCM of 74,7752 is 286824.

GCF of Denominators means GCF of 614,8386 as per the given fractions.

GCF of 614,8386 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,7752

LCM of Fractions 74/614,7752/8386 is 143412

2 74, 7752
37, 3876

∴ So the LCM of the given numbers is 2 x 37 x 3876 = 286824

Least Common Multiple of 74,7752 with GCF Formula

Least Common Multiple of 74,7752 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 74,7752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,7752) = 2

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

GCF(74,7752) x common factors =2 x 1 = 2

LCM(74,7752) = ( 74 × 7752 ) / 2

LCM(74,7752) = 573648 / 2

LCM(74,7752) = 286824


Lets's calculate GCF of 614,8386

2 614, 8386
307, 4193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286824/2

Therefore the LCM of Fractions 74/614,7752/8386 is 143412

Greatest Common Factor of 614,8386 By Matching Biggest Common Factor Method

Greatest Common Factor of 614,8386 By Matching Biggest Common Factor Method

Factors of 614

List of positive integer factors of 614 that divides 614 without a remainder.

1,2,307,614

Factors of 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1,2,7,14,599,1198,4193,8386

Greatest Common Factor

We found the factors 614,8386 . The biggest common factor number is the GCF number.
So the greatest common factor 614,8386 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 74/614, 7752/8386

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 74/614, 7752/8386?

Answer: LCM of Numerators as per given numbers 74/614, 7752/8386 is

LCM of Numerators i.e. for 74,7752 is 286824

GCF of denominators i.e. for 614,8386 is 2.

Thus, LCM of Fractions is 143412.Finally, LCM of Fractions for 74/614, 7752/8386 is 143412.