Least Common Multiple of 59/87, 208/80, 524/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 59/87, 208/80, 524/306 quickly i.e. 1607632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 59/87, 208/80, 524/306 is 1607632.

LCM(59/87, 208/80, 524/306) = 1607632

LCM of 59/87, 208/80, 524/306

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 59/87,208/80,524/306

Given numbers are 59/87,208/80,524/306

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 59,208,524

Least Common Multiple of Numerators i.e. LCM of 59,208,524 is 1607632.

GCF of Denominators means GCF of 87,80,306 as per the given fractions.

GCF of 87,80,306 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 59,208,524

LCM of Fractions 59/87,208/80,524/306 is 1607632

2 59, 208, 524
2 59, 104, 262
59, 52, 131

∴ So the LCM of the given numbers is 2 x 2 x 59 x 52 x 131 = 1607632

Least Common Multiple of 59,208,524 with GCF Formula

Least Common Multiple of 59,208,524 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 59,208,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,208,524) = 1

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

GCF(59,208,524) x common factors =1 x 4 = 4

LCM(59,208,524) = ( 59 × 208 × 524 ) / 4

LCM(59,208,524) = 6430528 / 4

LCM(59,208,524) = 1607632


Lets's calculate GCF of 87,80,306

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1607632/1

Therefore the LCM of Fractions 59/87,208/80,524/306 is 1607632

Greatest Common Factor of 87,80,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,80,306 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Greatest Common Factor

We found the factors 87,80,306 . The biggest common factor number is the GCF number.
So the greatest common factor 87,80,306 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 59/87, 208/80, 524/306

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 59/87, 208/80, 524/306?

Answer: LCM of Numerators as per given numbers 59/87, 208/80, 524/306 is

LCM of Numerators i.e. for 59,208,524 is 1607632

GCF of denominators i.e. for 87,80,306 is 1.

Thus, LCM of Fractions is 1607632.Finally, LCM of Fractions for 59/87, 208/80, 524/306 is 1607632.