Least Common Multiple of 850/96, 468/9030

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 850/96, 468/9030 quickly i.e. 33150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 850/96, 468/9030 is 33150.

LCM(850/96, 468/9030) = 33150

LCM of 850/96, 468/9030

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 850/96,468/9030

Given numbers are 850/96,468/9030

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 850,468

Least Common Multiple of Numerators i.e. LCM of 850,468 is 198900.

GCF of Denominators means GCF of 96,9030 as per the given fractions.

GCF of 96,9030 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 850,468

LCM of Fractions 850/96,468/9030 is 33150

2 850, 468
425, 234

∴ So the LCM of the given numbers is 2 x 425 x 234 = 198900

Least Common Multiple of 850,468 with GCF Formula

Least Common Multiple of 850,468 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 850,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(850,468) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(850,468) x common factors =2 x 1 = 2

LCM(850,468) = ( 850 × 468 ) / 2

LCM(850,468) = 397800 / 2

LCM(850,468) = 198900


Lets's calculate GCF of 96,9030

2 96, 9030
3 48, 4515
16, 1505

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198900/6

Therefore the LCM of Fractions 850/96,468/9030 is 33150

Greatest Common Factor of 96,9030 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,9030 By Matching Biggest Common Factor Method

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 9030

List of positive integer factors of 9030 that divides 9030 without a remainder.

1,2,3,5,6,7,10,14,15,21,30,35,42,43,70,86,105,129,210,215,258,301,430,602,645,903,1290,1505,1806,3010,4515,9030

Greatest Common Factor

We found the factors 96,9030 . The biggest common factor number is the GCF number.
So the greatest common factor 96,9030 is 6.


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 850/96, 468/9030

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 850/96, 468/9030?

Answer: LCM of Numerators as per given numbers 850/96, 468/9030 is

LCM of Numerators i.e. for 850,468 is 198900

GCF of denominators i.e. for 96,9030 is 6.

Thus, LCM of Fractions is 33150.Finally, LCM of Fractions for 850/96, 468/9030 is 33150.