Least Common Multiple of 763/58, 735/12, 588/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 763/58, 735/12, 588/205 quickly i.e. 320460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 763/58, 735/12, 588/205 is 320460.

LCM(763/58, 735/12, 588/205) = 320460

LCM of 763/58, 735/12, 588/205

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 763/58,735/12,588/205

Given numbers are 763/58,735/12,588/205

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 763,735,588

Least Common Multiple of Numerators i.e. LCM of 763,735,588 is 320460.

GCF of Denominators means GCF of 58,12,205 as per the given fractions.

GCF of 58,12,205 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 763,735,588

LCM of Fractions 763/58,735/12,588/205 is 320460

3 763, 735, 588
7 763, 245, 196
7 109, 35, 28
109, 5, 4

∴ So the LCM of the given numbers is 3 x 7 x 7 x 109 x 5 x 4 = 320460

Least Common Multiple of 763,735,588 with GCF Formula

Least Common Multiple of 763,735,588 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 763,735,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(763,735,588) = 7

common factors(in case of two or more numbers have common factors) = 147

GCF(763,735,588) x common factors =7 x 147 = 1029

LCM(763,735,588) = ( 763 × 735 × 588 ) / 1029

LCM(763,735,588) = 329753340 / 1029

LCM(763,735,588) = 320460


Lets's calculate GCF of 58,12,205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 320460/1

Therefore the LCM of Fractions 763/58,735/12,588/205 is 320460

Greatest Common Factor of 58,12,205 By Matching Biggest Common Factor Method

Greatest Common Factor of 58,12,205 By Matching Biggest Common Factor Method

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 205

List of positive integer factors of 205 that divides 205 without a remainder.

1,5,41,205

Greatest Common Factor

We found the factors 58,12,205 . The biggest common factor number is the GCF number.
So the greatest common factor 58,12,205 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 763/58, 735/12, 588/205

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 763/58, 735/12, 588/205?

Answer: LCM of Numerators as per given numbers 763/58, 735/12, 588/205 is

LCM of Numerators i.e. for 763,735,588 is 320460

GCF of denominators i.e. for 58,12,205 is 1.

Thus, LCM of Fractions is 320460.Finally, LCM of Fractions for 763/58, 735/12, 588/205 is 320460.