Least Common Multiple of 520/68, 432/8370

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 520/68, 432/8370 quickly i.e. 14040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 520/68, 432/8370 is 14040.

LCM(520/68, 432/8370) = 14040

LCM of 520/68, 432/8370

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 520/68,432/8370

Given numbers are 520/68,432/8370

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 520,432

Least Common Multiple of Numerators i.e. LCM of 520,432 is 28080.

GCF of Denominators means GCF of 68,8370 as per the given fractions.

GCF of 68,8370 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 520,432

LCM of Fractions 520/68,432/8370 is 14040

2 520, 432
2 260, 216
2 130, 108
65, 54

∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 54 = 28080

Least Common Multiple of 520,432 with GCF Formula

Least Common Multiple of 520,432 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 520,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,432) = 8

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

GCF(520,432) x common factors =8 x 1 = 8

LCM(520,432) = ( 520 × 432 ) / 8

LCM(520,432) = 224640 / 8

LCM(520,432) = 28080


Lets's calculate GCF of 68,8370

2 68, 8370
34, 4185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28080/2

Therefore the LCM of Fractions 520/68,432/8370 is 14040

Greatest Common Factor of 68,8370 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,8370 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 8370

List of positive integer factors of 8370 that divides 8370 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,31,45,54,62,90,93,135,155,186,270,279,310,465,558,837,930,1395,1674,2790,4185,8370

Greatest Common Factor

We found the factors 68,8370 . The biggest common factor number is the GCF number.
So the greatest common factor 68,8370 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 520/68, 432/8370

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 520/68, 432/8370?

Answer: LCM of Numerators as per given numbers 520/68, 432/8370 is

LCM of Numerators i.e. for 520,432 is 28080

GCF of denominators i.e. for 68,8370 is 2.

Thus, LCM of Fractions is 14040.Finally, LCM of Fractions for 520/68, 432/8370 is 14040.