Least Common Multiple of 234/933, 194/153, 600/965

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 234/933, 194/153, 600/965 quickly i.e. 2269800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 234/933, 194/153, 600/965 is 2269800.

LCM(234/933, 194/153, 600/965) = 2269800

LCM of 234/933, 194/153, 600/965

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 234/933,194/153,600/965

Given numbers are 234/933,194/153,600/965

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 234,194,600

Least Common Multiple of Numerators i.e. LCM of 234,194,600 is 2269800.

GCF of Denominators means GCF of 933,153,965 as per the given fractions.

GCF of 933,153,965 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 234,194,600

LCM of Fractions 234/933,194/153,600/965 is 2269800

2 234, 194, 600
3 117, 97, 300
39, 97, 100

∴ So the LCM of the given numbers is 2 x 3 x 39 x 97 x 100 = 2269800

Least Common Multiple of 234,194,600 with GCF Formula

Least Common Multiple of 234,194,600 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 234,194,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(234,194,600) = 2

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

GCF(234,194,600) x common factors =2 x 6 = 12

LCM(234,194,600) = ( 234 × 194 × 600 ) / 12

LCM(234,194,600) = 27237600 / 12

LCM(234,194,600) = 2269800


Lets's calculate GCF of 933,153,965

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2269800/1

Therefore the LCM of Fractions 234/933,194/153,600/965 is 2269800

Greatest Common Factor of 933,153,965 By Matching Biggest Common Factor Method

Greatest Common Factor of 933,153,965 By Matching Biggest Common Factor Method

Factors of 933

List of positive integer factors of 933 that divides 933 without a remainder.

1,3,311,933

Factors of 153

List of positive integer factors of 153 that divides 153 without a remainder.

1,3,9,17,51,153

Factors of 965

List of positive integer factors of 965 that divides 965 without a remainder.

1,5,193,965

Greatest Common Factor

We found the factors 933,153,965 . The biggest common factor number is the GCF number.
So the greatest common factor 933,153,965 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 234/933, 194/153, 600/965

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 234/933, 194/153, 600/965?

Answer: LCM of Numerators as per given numbers 234/933, 194/153, 600/965 is

LCM of Numerators i.e. for 234,194,600 is 2269800

GCF of denominators i.e. for 933,153,965 is 1.

Thus, LCM of Fractions is 2269800.Finally, LCM of Fractions for 234/933, 194/153, 600/965 is 2269800.