Least Common Multiple of 8151/33, 8185/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8151/33, 8185/748 quickly i.e. 6065085 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8151/33, 8185/748 is 6065085.

LCM(8151/33, 8185/748) = 6065085

LCM of 8151/33, 8185/748

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 8151/33,8185/748

Given numbers are 8151/33,8185/748

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 8151,8185

Least Common Multiple of Numerators i.e. LCM of 8151,8185 is 66715935.

GCF of Denominators means GCF of 33,748 as per the given fractions.

GCF of 33,748 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8151,8185

LCM of Fractions 8151/33,8185/748 is 6065085

Given numbers has no common factors except 1. So, there LCM is their product i.e 66715935

Least Common Multiple of 8151,8185 with GCF Formula

Least Common Multiple of 8151,8185 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 8151,8185 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8151,8185) = 1

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

GCF(8151,8185) x common factors =1 x 1 = 1

LCM(8151,8185) = ( 8151 × 8185 ) / 1

LCM(8151,8185) = 66715935 / 1

LCM(8151,8185) = 66715935


Lets's calculate GCF of 33,748

11 33, 748
3, 68

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66715935/11

Therefore the LCM of Fractions 8151/33,8185/748 is 6065085

Greatest Common Factor of 33,748 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,748 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 748

List of positive integer factors of 748 that divides 748 without a remainder.

1,2,4,11,17,22,34,44,68,187,374,748

Greatest Common Factor

We found the factors 33,748 . The biggest common factor number is the GCF number.
So the greatest common factor 33,748 is 11.


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 8151/33, 8185/748

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 8151/33, 8185/748?

Answer: LCM of Numerators as per given numbers 8151/33, 8185/748 is

LCM of Numerators i.e. for 8151,8185 is 66715935

GCF of denominators i.e. for 33,748 is 11.

Thus, LCM of Fractions is 6065085.Finally, LCM of Fractions for 8151/33, 8185/748 is 6065085.