Least Common Multiple of 59/59, 92/216, 892/320

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/59, 92/216, 892/320 quickly i.e. 1210444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/59, 92/216, 892/320 is 1210444.

LCM(59/59, 92/216, 892/320) = 1210444

LCM of 59/59, 92/216, 892/320

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 59/59,92/216,892/320

Given numbers are 59/59,92/216,892/320

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 59,92,892

Least Common Multiple of Numerators i.e. LCM of 59,92,892 is 1210444.

GCF of Denominators means GCF of 59,216,320 as per the given fractions.

GCF of 59,216,320 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,92,892

LCM of Fractions 59/59,92/216,892/320 is 1210444

2 59, 92, 892
2 59, 46, 446
59, 23, 223

∴ So the LCM of the given numbers is 2 x 2 x 59 x 23 x 223 = 1210444

Least Common Multiple of 59,92,892 with GCF Formula

Least Common Multiple of 59,92,892 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 59,92,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,92,892) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(59,92,892) x common factors =1 x 4 = 4

LCM(59,92,892) = ( 59 × 92 × 892 ) / 4

LCM(59,92,892) = 4841776 / 4

LCM(59,92,892) = 1210444


Lets's calculate GCF of 59,216,320

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1210444/1

Therefore the LCM of Fractions 59/59,92/216,892/320 is 1210444

Greatest Common Factor of 59,216,320 By Matching Biggest Common Factor Method

Greatest Common Factor of 59,216,320 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 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Greatest Common Factor

We found the factors 59,216,320 . The biggest common factor number is the GCF number.
So the greatest common factor 59,216,320 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 59/59, 92/216, 892/320

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 59/59, 92/216, 892/320?

Answer: LCM of Numerators as per given numbers 59/59, 92/216, 892/320 is

LCM of Numerators i.e. for 59,92,892 is 1210444

GCF of denominators i.e. for 59,216,320 is 1.

Thus, LCM of Fractions is 1210444.Finally, LCM of Fractions for 59/59, 92/216, 892/320 is 1210444.