Least Common Multiple of 10/30, 99/32, 39/42, 58/316

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 10/30, 99/32, 39/42, 58/316 quickly i.e. 186615 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 10/30, 99/32, 39/42, 58/316 is 186615.

LCM(10/30, 99/32, 39/42, 58/316) = 186615

LCM of 10/30, 99/32, 39/42, 58/316

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 10/30,99/32,39/42,58/316

Given numbers are 10/30,99/32,39/42,58/316

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 10,99,39,58

Least Common Multiple of Numerators i.e. LCM of 10,99,39,58 is 373230.

GCF of Denominators means GCF of 30,32,42,316 as per the given fractions.

GCF of 30,32,42,316 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 10,99,39,58

LCM of Fractions 10/30,99/32,39/42,58/316 is 186615

2 10, 99, 39, 58
3 5, 99, 39, 29
5, 33, 13, 29

∴ So the LCM of the given numbers is 2 x 3 x 5 x 33 x 13 x 29 = 373230

Least Common Multiple of 10,99,39,58 with GCF Formula

Least Common Multiple of 10,99,39,58 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 10,99,39,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,99,39,58) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(10,99,39,58) x common factors =1 x 6 = 6

LCM(10,99,39,58) = ( 10 × 99 × 39 × 58 ) / 6

LCM(10,99,39,58) = 2239380 / 6

LCM(10,99,39,58) = 373230


Lets's calculate GCF of 30,32,42,316

2 30, 32, 42, 316
15, 16, 21, 158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 373230/2

Therefore the LCM of Fractions 10/30,99/32,39/42,58/316 is 186615

Greatest Common Factor of 30,32,42,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,32,42,316 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 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 30,32,42,316 . The biggest common factor number is the GCF number.
So the greatest common factor 30,32,42,316 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 10/30, 99/32, 39/42, 58/316

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 10/30, 99/32, 39/42, 58/316?

Answer: LCM of Numerators as per given numbers 10/30, 99/32, 39/42, 58/316 is

LCM of Numerators i.e. for 10,99,39,58 is 373230

GCF of denominators i.e. for 30,32,42,316 is 2.

Thus, LCM of Fractions is 186615.Finally, LCM of Fractions for 10/30, 99/32, 39/42, 58/316 is 186615.