Least Common Multiple of 3774/827, 4514/7108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3774/827, 4514/7108 quickly i.e. 230214 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3774/827, 4514/7108 is 230214.

LCM(3774/827, 4514/7108) = 230214

LCM of 3774/827, 4514/7108

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 3774/827,4514/7108

Given numbers are 3774/827,4514/7108

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 3774,4514

Least Common Multiple of Numerators i.e. LCM of 3774,4514 is 230214.

GCF of Denominators means GCF of 827,7108 as per the given fractions.

GCF of 827,7108 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3774,4514

LCM of Fractions 3774/827,4514/7108 is 230214

2 3774, 4514
37 1887, 2257
51, 61

∴ So the LCM of the given numbers is 2 x 37 x 51 x 61 = 230214

Least Common Multiple of 3774,4514 with GCF Formula

Least Common Multiple of 3774,4514 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 3774,4514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3774,4514) = 74

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

GCF(3774,4514) x common factors =74 x 1 = 74

LCM(3774,4514) = ( 3774 × 4514 ) / 74

LCM(3774,4514) = 17035836 / 74

LCM(3774,4514) = 230214


Lets's calculate GCF of 827,7108

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 230214/1

Therefore the LCM of Fractions 3774/827,4514/7108 is 230214

Greatest Common Factor of 827,7108 By Matching Biggest Common Factor Method

Greatest Common Factor of 827,7108 By Matching Biggest Common Factor Method

Factors of 827

List of positive integer factors of 827 that divides 827 without a remainder.

1,827

Factors of 7108

List of positive integer factors of 7108 that divides 7108 without a remainder.

1,2,4,1777,3554,7108

Greatest Common Factor

We found the factors 827,7108 . The biggest common factor number is the GCF number.
So the greatest common factor 827,7108 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 3774/827, 4514/7108

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 3774/827, 4514/7108?

Answer: LCM of Numerators as per given numbers 3774/827, 4514/7108 is

LCM of Numerators i.e. for 3774,4514 is 230214

GCF of denominators i.e. for 827,7108 is 1.

Thus, LCM of Fractions is 230214.Finally, LCM of Fractions for 3774/827, 4514/7108 is 230214.