Least Common Multiple of 768/90, 650/42, 999/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 768/90, 650/42, 999/160 quickly i.e. 41558400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 768/90, 650/42, 999/160 is 41558400.

LCM(768/90, 650/42, 999/160) = 41558400

LCM of 768/90, 650/42, 999/160

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 768/90,650/42,999/160

Given numbers are 768/90,650/42,999/160

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 768,650,999

Least Common Multiple of Numerators i.e. LCM of 768,650,999 is 83116800.

GCF of Denominators means GCF of 90,42,160 as per the given fractions.

GCF of 90,42,160 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 768,650,999

LCM of Fractions 768/90,650/42,999/160 is 41558400

2 768, 650, 999
3 384, 325, 999
128, 325, 333

∴ So the LCM of the given numbers is 2 x 3 x 128 x 325 x 333 = 83116800

Least Common Multiple of 768,650,999 with GCF Formula

Least Common Multiple of 768,650,999 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 768,650,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(768,650,999) = 1

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

GCF(768,650,999) x common factors =1 x 6 = 6

LCM(768,650,999) = ( 768 × 650 × 999 ) / 6

LCM(768,650,999) = 498700800 / 6

LCM(768,650,999) = 83116800


Lets's calculate GCF of 90,42,160

2 90, 42, 160
45, 21, 80

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 83116800/2

Therefore the LCM of Fractions 768/90,650/42,999/160 is 41558400

Greatest Common Factor of 90,42,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,42,160 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

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 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 90,42,160 . The biggest common factor number is the GCF number.
So the greatest common factor 90,42,160 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 768/90, 650/42, 999/160

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 768/90, 650/42, 999/160?

Answer: LCM of Numerators as per given numbers 768/90, 650/42, 999/160 is

LCM of Numerators i.e. for 768,650,999 is 83116800

GCF of denominators i.e. for 90,42,160 is 2.

Thus, LCM of Fractions is 41558400.Finally, LCM of Fractions for 768/90, 650/42, 999/160 is 41558400.