Least Common Multiple of 58/108, 99/779, 588/787

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 58/108, 99/779, 588/787 quickly i.e. 562716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/108, 99/779, 588/787 is 562716.

LCM(58/108, 99/779, 588/787) = 562716

LCM of 58/108, 99/779, 588/787

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 58/108,99/779,588/787

Given numbers are 58/108,99/779,588/787

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 58,99,588

Least Common Multiple of Numerators i.e. LCM of 58,99,588 is 562716.

GCF of Denominators means GCF of 108,779,787 as per the given fractions.

GCF of 108,779,787 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,99,588

LCM of Fractions 58/108,99/779,588/787 is 562716

2 58, 99, 588
3 29, 99, 294
29, 33, 98

∴ So the LCM of the given numbers is 2 x 3 x 29 x 33 x 98 = 562716

Least Common Multiple of 58,99,588 with GCF Formula

Least Common Multiple of 58,99,588 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 58,99,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,99,588) = 1

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

GCF(58,99,588) x common factors =1 x 6 = 6

LCM(58,99,588) = ( 58 × 99 × 588 ) / 6

LCM(58,99,588) = 3376296 / 6

LCM(58,99,588) = 562716


Lets's calculate GCF of 108,779,787

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 562716/1

Therefore the LCM of Fractions 58/108,99/779,588/787 is 562716

Greatest Common Factor of 108,779,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 108,779,787 By Matching Biggest Common Factor Method

Factors of 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 779

List of positive integer factors of 779 that divides 779 without a remainder.

1,19,41,779

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 108,779,787 . The biggest common factor number is the GCF number.
So the greatest common factor 108,779,787 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 58/108, 99/779, 588/787

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 58/108, 99/779, 588/787?

Answer: LCM of Numerators as per given numbers 58/108, 99/779, 588/787 is

LCM of Numerators i.e. for 58,99,588 is 562716

GCF of denominators i.e. for 108,779,787 is 1.

Thus, LCM of Fractions is 562716.Finally, LCM of Fractions for 58/108, 99/779, 588/787 is 562716.