Least Common Multiple of 58/930, 910/598, 308/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 58/930, 910/598, 308/697 quickly i.e. 580580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 58/930, 910/598, 308/697 is 580580.

LCM(58/930, 910/598, 308/697) = 580580

LCM of 58/930, 910/598, 308/697

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 58/930,910/598,308/697

Given numbers are 58/930,910/598,308/697

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 58,910,308

Least Common Multiple of Numerators i.e. LCM of 58,910,308 is 580580.

GCF of Denominators means GCF of 930,598,697 as per the given fractions.

GCF of 930,598,697 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 58,910,308

LCM of Fractions 58/930,910/598,308/697 is 580580

2 58, 910, 308
7 29, 455, 154
29, 65, 22

∴ So the LCM of the given numbers is 2 x 7 x 29 x 65 x 22 = 580580

Least Common Multiple of 58,910,308 with GCF Formula

Least Common Multiple of 58,910,308 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 58,910,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,910,308) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(58,910,308) x common factors =2 x 14 = 28

LCM(58,910,308) = ( 58 × 910 × 308 ) / 28

LCM(58,910,308) = 16256240 / 28

LCM(58,910,308) = 580580


Lets's calculate GCF of 930,598,697

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 580580/1

Therefore the LCM of Fractions 58/930,910/598,308/697 is 580580

Greatest Common Factor of 930,598,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 930,598,697 By Matching Biggest Common Factor Method

Factors of 930

List of positive integer factors of 930 that divides 930 without a remainder.

1,2,3,5,6,10,15,30,31,62,93,155,186,310,465,930

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 930,598,697 . The biggest common factor number is the GCF number.
So the greatest common factor 930,598,697 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 58/930, 910/598, 308/697

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 58/930, 910/598, 308/697?

Answer: LCM of Numerators as per given numbers 58/930, 910/598, 308/697 is

LCM of Numerators i.e. for 58,910,308 is 580580

GCF of denominators i.e. for 930,598,697 is 1.

Thus, LCM of Fractions is 580580.Finally, LCM of Fractions for 58/930, 910/598, 308/697 is 580580.