Least Common Multiple of 520/468, 5889/170

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/468, 5889/170 quickly i.e. 117780 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/468, 5889/170 is 117780.

LCM(520/468, 5889/170) = 117780

LCM of 520/468, 5889/170

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 520/468,5889/170

Given numbers are 520/468,5889/170

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 520,5889

Least Common Multiple of Numerators i.e. LCM of 520,5889 is 235560.

GCF of Denominators means GCF of 468,170 as per the given fractions.

GCF of 468,170 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,5889

LCM of Fractions 520/468,5889/170 is 117780

13 520, 5889
40, 453

∴ So the LCM of the given numbers is 13 x 40 x 453 = 235560

Least Common Multiple of 520,5889 with GCF Formula

Least Common Multiple of 520,5889 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 520,5889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,5889) = 13

common factors(in case of two or more numbers have common factors) = 1

GCF(520,5889) x common factors =13 x 1 = 13

LCM(520,5889) = ( 520 × 5889 ) / 13

LCM(520,5889) = 3062280 / 13

LCM(520,5889) = 235560


Lets's calculate GCF of 468,170

2 468, 170
234, 85

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235560/2

Therefore the LCM of Fractions 520/468,5889/170 is 117780

Greatest Common Factor of 468,170 By Matching Biggest Common Factor Method

Greatest Common Factor of 468,170 By Matching Biggest Common Factor Method

Factors of 468

List of positive integer factors of 468 that divides 468 without a remainder.

1,2,3,4,6,9,12,13,18,26,36,39,52,78,117,156,234,468

Factors of 170

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

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

Greatest Common Factor

We found the factors 468,170 . The biggest common factor number is the GCF number.
So the greatest common factor 468,170 is 2.


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 520/468, 5889/170

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 520/468, 5889/170?

Answer: LCM of Numerators as per given numbers 520/468, 5889/170 is

LCM of Numerators i.e. for 520,5889 is 235560

GCF of denominators i.e. for 468,170 is 2.

Thus, LCM of Fractions is 117780.Finally, LCM of Fractions for 520/468, 5889/170 is 117780.