Least Common Multiple of 83/12, 49/15, 35/27, 45/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/12, 49/15, 35/27, 45/234 quickly i.e. 61005 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/12, 49/15, 35/27, 45/234 is 61005.

LCM(83/12, 49/15, 35/27, 45/234) = 61005

LCM of 83/12, 49/15, 35/27, 45/234

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 83/12,49/15,35/27,45/234

Given numbers are 83/12,49/15,35/27,45/234

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 83,49,35,45

Least Common Multiple of Numerators i.e. LCM of 83,49,35,45 is 183015.

GCF of Denominators means GCF of 12,15,27,234 as per the given fractions.

GCF of 12,15,27,234 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,49,35,45

LCM of Fractions 83/12,49/15,35/27,45/234 is 61005

5 83, 49, 35, 45
7 83, 49, 7, 9
83, 1, 7, 9

∴ So the LCM of the given numbers is 5 x 7 x 83 x 1 x 7 x 9 = 183015

Least Common Multiple of 83,49,35,45 with GCF Formula

Least Common Multiple of 83,49,35,45 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 83,49,35,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,49,35,45) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(83,49,35,45) x common factors =1 x 35 = 35

LCM(83,49,35,45) = ( 83 × 49 × 35 × 45 ) / 35

LCM(83,49,35,45) = 6405525 / 35

LCM(83,49,35,45) = 183015


Lets's calculate GCF of 12,15,27,234

3 12, 15, 27, 234
4, 5, 9, 78

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 183015/3

Therefore the LCM of Fractions 83/12,49/15,35/27,45/234 is 61005

Greatest Common Factor of 12,15,27,234 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,15,27,234 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Greatest Common Factor

We found the factors 12,15,27,234 . The biggest common factor number is the GCF number.
So the greatest common factor 12,15,27,234 is 3.


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 83/12, 49/15, 35/27, 45/234

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 83/12, 49/15, 35/27, 45/234?

Answer: LCM of Numerators as per given numbers 83/12, 49/15, 35/27, 45/234 is

LCM of Numerators i.e. for 83,49,35,45 is 183015

GCF of denominators i.e. for 12,15,27,234 is 3.

Thus, LCM of Fractions is 61005.Finally, LCM of Fractions for 83/12, 49/15, 35/27, 45/234 is 61005.