Least Common Multiple of 705/233, 189/990, 965/746

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 705/233, 189/990, 965/746 quickly i.e. 8572095 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 705/233, 189/990, 965/746 is 8572095.

LCM(705/233, 189/990, 965/746) = 8572095

LCM of 705/233, 189/990, 965/746

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 705/233,189/990,965/746

Given numbers are 705/233,189/990,965/746

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 705,189,965

Least Common Multiple of Numerators i.e. LCM of 705,189,965 is 8572095.

GCF of Denominators means GCF of 233,990,746 as per the given fractions.

GCF of 233,990,746 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 705,189,965

LCM of Fractions 705/233,189/990,965/746 is 8572095

3 705, 189, 965
5 235, 63, 965
47, 63, 193

∴ So the LCM of the given numbers is 3 x 5 x 47 x 63 x 193 = 8572095

Least Common Multiple of 705,189,965 with GCF Formula

Least Common Multiple of 705,189,965 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 705,189,965 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,189,965) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(705,189,965) x common factors =1 x 15 = 15

LCM(705,189,965) = ( 705 × 189 × 965 ) / 15

LCM(705,189,965) = 128581425 / 15

LCM(705,189,965) = 8572095


Lets's calculate GCF of 233,990,746

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8572095/1

Therefore the LCM of Fractions 705/233,189/990,965/746 is 8572095

Greatest Common Factor of 233,990,746 By Matching Biggest Common Factor Method

Greatest Common Factor of 233,990,746 By Matching Biggest Common Factor Method

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 746

List of positive integer factors of 746 that divides 746 without a remainder.

1,2,373,746

Greatest Common Factor

We found the factors 233,990,746 . The biggest common factor number is the GCF number.
So the greatest common factor 233,990,746 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 705/233, 189/990, 965/746

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 705/233, 189/990, 965/746?

Answer: LCM of Numerators as per given numbers 705/233, 189/990, 965/746 is

LCM of Numerators i.e. for 705,189,965 is 8572095

GCF of denominators i.e. for 233,990,746 is 1.

Thus, LCM of Fractions is 8572095.Finally, LCM of Fractions for 705/233, 189/990, 965/746 is 8572095.