Least Common Multiple of 35/30, 69/83, 16/96, 58/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 35/30, 69/83, 16/96, 58/367 quickly i.e. 1120560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 35/30, 69/83, 16/96, 58/367 is 1120560.

LCM(35/30, 69/83, 16/96, 58/367) = 1120560

LCM of 35/30, 69/83, 16/96, 58/367

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 35/30,69/83,16/96,58/367

Given numbers are 35/30,69/83,16/96,58/367

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 35,69,16,58

Least Common Multiple of Numerators i.e. LCM of 35,69,16,58 is 1120560.

GCF of Denominators means GCF of 30,83,96,367 as per the given fractions.

GCF of 30,83,96,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 35,69,16,58

LCM of Fractions 35/30,69/83,16/96,58/367 is 1120560

2 35, 69, 16, 58
35, 69, 8, 29

∴ So the LCM of the given numbers is 2 x 35 x 69 x 8 x 29 = 1120560

Least Common Multiple of 35,69,16,58 with GCF Formula

Least Common Multiple of 35,69,16,58 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 35,69,16,58 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,69,16,58) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(35,69,16,58) x common factors =1 x 2 = 2

LCM(35,69,16,58) = ( 35 × 69 × 16 × 58 ) / 2

LCM(35,69,16,58) = 2241120 / 2

LCM(35,69,16,58) = 1120560


Lets's calculate GCF of 30,83,96,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1120560/1

Therefore the LCM of Fractions 35/30,69/83,16/96,58/367 is 1120560

Greatest Common Factor of 30,83,96,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,83,96,367 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 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 30,83,96,367 . The biggest common factor number is the GCF number.
So the greatest common factor 30,83,96,367 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 35/30, 69/83, 16/96, 58/367

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 35/30, 69/83, 16/96, 58/367?

Answer: LCM of Numerators as per given numbers 35/30, 69/83, 16/96, 58/367 is

LCM of Numerators i.e. for 35,69,16,58 is 1120560

GCF of denominators i.e. for 30,83,96,367 is 1.

Thus, LCM of Fractions is 1120560.Finally, LCM of Fractions for 35/30, 69/83, 16/96, 58/367 is 1120560.