Least Common Multiple of 528/293, 790/170, 913/372

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/293, 790/170, 913/372 quickly i.e. 17310480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/293, 790/170, 913/372 is 17310480.

LCM(528/293, 790/170, 913/372) = 17310480

LCM of 528/293, 790/170, 913/372

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 528/293,790/170,913/372

Given numbers are 528/293,790/170,913/372

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 528,790,913

Least Common Multiple of Numerators i.e. LCM of 528,790,913 is 17310480.

GCF of Denominators means GCF of 293,170,372 as per the given fractions.

GCF of 293,170,372 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,790,913

LCM of Fractions 528/293,790/170,913/372 is 17310480

2 528, 790, 913
11 264, 395, 913
24, 395, 83

∴ So the LCM of the given numbers is 2 x 11 x 24 x 395 x 83 = 17310480

Least Common Multiple of 528,790,913 with GCF Formula

Least Common Multiple of 528,790,913 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 528,790,913 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,790,913) = 1

common factors(in case of two or more numbers have common factors) = 22

GCF(528,790,913) x common factors =1 x 22 = 22

LCM(528,790,913) = ( 528 × 790 × 913 ) / 22

LCM(528,790,913) = 380830560 / 22

LCM(528,790,913) = 17310480


Lets's calculate GCF of 293,170,372

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17310480/1

Therefore the LCM of Fractions 528/293,790/170,913/372 is 17310480

Greatest Common Factor of 293,170,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 293,170,372 By Matching Biggest Common Factor Method

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 170

List of positive integer factors of 170 that divides 170 without a remainder.

1,2,5,10,17,34,85,170

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 293,170,372 . The biggest common factor number is the GCF number.
So the greatest common factor 293,170,372 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 528/293, 790/170, 913/372

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 528/293, 790/170, 913/372?

Answer: LCM of Numerators as per given numbers 528/293, 790/170, 913/372 is

LCM of Numerators i.e. for 528,790,913 is 17310480

GCF of denominators i.e. for 293,170,372 is 1.

Thus, LCM of Fractions is 17310480.Finally, LCM of Fractions for 528/293, 790/170, 913/372 is 17310480.