Least Common Multiple of 42/989, 75/699, 160/584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 42/989, 75/699, 160/584 quickly i.e. 16800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 42/989, 75/699, 160/584 is 16800.

LCM(42/989, 75/699, 160/584) = 16800

LCM of 42/989, 75/699, 160/584

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 42/989,75/699,160/584

Given numbers are 42/989,75/699,160/584

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 42,75,160

Least Common Multiple of Numerators i.e. LCM of 42,75,160 is 16800.

GCF of Denominators means GCF of 989,699,584 as per the given fractions.

GCF of 989,699,584 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 42,75,160

LCM of Fractions 42/989,75/699,160/584 is 16800

2 42, 75, 160
3 21, 75, 80
5 7, 25, 80
7, 5, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 5 x 16 = 16800

Least Common Multiple of 42,75,160 with GCF Formula

Least Common Multiple of 42,75,160 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 42,75,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,75,160) = 1

common factors(in case of two or more numbers have common factors) = 30

GCF(42,75,160) x common factors =1 x 30 = 30

LCM(42,75,160) = ( 42 × 75 × 160 ) / 30

LCM(42,75,160) = 504000 / 30

LCM(42,75,160) = 16800


Lets's calculate GCF of 989,699,584

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16800/1

Therefore the LCM of Fractions 42/989,75/699,160/584 is 16800

Greatest Common Factor of 989,699,584 By Matching Biggest Common Factor Method

Greatest Common Factor of 989,699,584 By Matching Biggest Common Factor Method

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 989,699,584 . The biggest common factor number is the GCF number.
So the greatest common factor 989,699,584 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 42/989, 75/699, 160/584

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 42/989, 75/699, 160/584?

Answer: LCM of Numerators as per given numbers 42/989, 75/699, 160/584 is

LCM of Numerators i.e. for 42,75,160 is 16800

GCF of denominators i.e. for 989,699,584 is 1.

Thus, LCM of Fractions is 16800.Finally, LCM of Fractions for 42/989, 75/699, 160/584 is 16800.