Least Common Multiple of 114/46, 192/60, 899/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 114/46, 192/60, 899/150 quickly i.e. 1639776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 114/46, 192/60, 899/150 is 1639776.

LCM(114/46, 192/60, 899/150) = 1639776

LCM of 114/46, 192/60, 899/150

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 114/46,192/60,899/150

Given numbers are 114/46,192/60,899/150

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 114,192,899

Least Common Multiple of Numerators i.e. LCM of 114,192,899 is 3279552.

GCF of Denominators means GCF of 46,60,150 as per the given fractions.

GCF of 46,60,150 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 114,192,899

LCM of Fractions 114/46,192/60,899/150 is 1639776

2 114, 192, 899
3 57, 96, 899
19, 32, 899

∴ So the LCM of the given numbers is 2 x 3 x 19 x 32 x 899 = 3279552

Least Common Multiple of 114,192,899 with GCF Formula

Least Common Multiple of 114,192,899 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 114,192,899 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(114,192,899) = 1

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

GCF(114,192,899) x common factors =1 x 6 = 6

LCM(114,192,899) = ( 114 × 192 × 899 ) / 6

LCM(114,192,899) = 19677312 / 6

LCM(114,192,899) = 3279552


Lets's calculate GCF of 46,60,150

2 46, 60, 150
23, 30, 75

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3279552/2

Therefore the LCM of Fractions 114/46,192/60,899/150 is 1639776

Greatest Common Factor of 46,60,150 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,60,150 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Greatest Common Factor

We found the factors 46,60,150 . The biggest common factor number is the GCF number.
So the greatest common factor 46,60,150 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 114/46, 192/60, 899/150

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 114/46, 192/60, 899/150?

Answer: LCM of Numerators as per given numbers 114/46, 192/60, 899/150 is

LCM of Numerators i.e. for 114,192,899 is 3279552

GCF of denominators i.e. for 46,60,150 is 2.

Thus, LCM of Fractions is 1639776.Finally, LCM of Fractions for 114/46, 192/60, 899/150 is 1639776.