Least Common Multiple of 330/59, 726/16, 598/930

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/59, 726/16, 598/930 quickly i.e. 1085370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/59, 726/16, 598/930 is 1085370.

LCM(330/59, 726/16, 598/930) = 1085370

LCM of 330/59, 726/16, 598/930

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 330/59,726/16,598/930

Given numbers are 330/59,726/16,598/930

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 330,726,598

Least Common Multiple of Numerators i.e. LCM of 330,726,598 is 1085370.

GCF of Denominators means GCF of 59,16,930 as per the given fractions.

GCF of 59,16,930 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,726,598

LCM of Fractions 330/59,726/16,598/930 is 1085370

2 330, 726, 598
3 165, 363, 299
11 55, 121, 299
5, 11, 299

∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 11 x 299 = 1085370

Least Common Multiple of 330,726,598 with GCF Formula

Least Common Multiple of 330,726,598 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 330,726,598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,726,598) = 2

common factors(in case of two or more numbers have common factors) = 66

GCF(330,726,598) x common factors =2 x 66 = 132

LCM(330,726,598) = ( 330 × 726 × 598 ) / 132

LCM(330,726,598) = 143268840 / 132

LCM(330,726,598) = 1085370


Lets's calculate GCF of 59,16,930

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1085370/1

Therefore the LCM of Fractions 330/59,726/16,598/930 is 1085370

Greatest Common Factor of 59,16,930 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,16,930 By Matching Biggest Common Factor Method

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

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

Greatest Common Factor

We found the factors 59,16,930 . The biggest common factor number is the GCF number.
So the greatest common factor 59,16,930 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 330/59, 726/16, 598/930

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 330/59, 726/16, 598/930?

Answer: LCM of Numerators as per given numbers 330/59, 726/16, 598/930 is

LCM of Numerators i.e. for 330,726,598 is 1085370

GCF of denominators i.e. for 59,16,930 is 1.

Thus, LCM of Fractions is 1085370.Finally, LCM of Fractions for 330/59, 726/16, 598/930 is 1085370.