Least Common Multiple of 87/30, 33/12, 96/43, 46/349

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/30, 33/12, 96/43, 46/349 quickly i.e. 704352 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/30, 33/12, 96/43, 46/349 is 704352.

LCM(87/30, 33/12, 96/43, 46/349) = 704352

LCM of 87/30, 33/12, 96/43, 46/349

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 87/30,33/12,96/43,46/349

Given numbers are 87/30,33/12,96/43,46/349

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 87,33,96,46

Least Common Multiple of Numerators i.e. LCM of 87,33,96,46 is 704352.

GCF of Denominators means GCF of 30,12,43,349 as per the given fractions.

GCF of 30,12,43,349 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,33,96,46

LCM of Fractions 87/30,33/12,96/43,46/349 is 704352

2 87, 33, 96, 46
3 87, 33, 48, 23
29, 11, 16, 23

∴ So the LCM of the given numbers is 2 x 3 x 29 x 11 x 16 x 23 = 704352

Least Common Multiple of 87,33,96,46 with GCF Formula

Least Common Multiple of 87,33,96,46 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 87,33,96,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,33,96,46) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(87,33,96,46) x common factors =1 x 18 = 18

LCM(87,33,96,46) = ( 87 × 33 × 96 × 46 ) / 18

LCM(87,33,96,46) = 12678336 / 18

LCM(87,33,96,46) = 704352


Lets's calculate GCF of 30,12,43,349

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 704352/1

Therefore the LCM of Fractions 87/30,33/12,96/43,46/349 is 704352

Greatest Common Factor of 30,12,43,349 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,12,43,349 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 12

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

1,2,3,4,6,12

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 349

List of positive integer factors of 349 that divides 349 without a remainder.

1,349

Greatest Common Factor

We found the factors 30,12,43,349 . The biggest common factor number is the GCF number.
So the greatest common factor 30,12,43,349 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 87/30, 33/12, 96/43, 46/349

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 87/30, 33/12, 96/43, 46/349?

Answer: LCM of Numerators as per given numbers 87/30, 33/12, 96/43, 46/349 is

LCM of Numerators i.e. for 87,33,96,46 is 704352

GCF of denominators i.e. for 30,12,43,349 is 1.

Thus, LCM of Fractions is 704352.Finally, LCM of Fractions for 87/30, 33/12, 96/43, 46/349 is 704352.