Least Common Multiple of 507/39, 639/52, 845/63

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 507/39, 639/52, 845/63 quickly i.e. 539955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 507/39, 639/52, 845/63 is 539955.

LCM(507/39, 639/52, 845/63) = 539955

LCM of 507/39, 639/52, 845/63

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 507/39,639/52,845/63

Given numbers are 507/39,639/52,845/63

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 507,639,845

Least Common Multiple of Numerators i.e. LCM of 507,639,845 is 539955.

GCF of Denominators means GCF of 39,52,63 as per the given fractions.

GCF of 39,52,63 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 507,639,845

LCM of Fractions 507/39,639/52,845/63 is 539955

3 507, 639, 845
13 169, 213, 845
13 13, 213, 65
1, 213, 5

∴ So the LCM of the given numbers is 3 x 13 x 13 x 1 x 213 x 5 = 539955

Least Common Multiple of 507,639,845 with GCF Formula

Least Common Multiple of 507,639,845 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 507,639,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(507,639,845) = 1

common factors(in case of two or more numbers have common factors) = 507

GCF(507,639,845) x common factors =1 x 507 = 507

LCM(507,639,845) = ( 507 × 639 × 845 ) / 507

LCM(507,639,845) = 273757185 / 507

LCM(507,639,845) = 539955


Lets's calculate GCF of 39,52,63

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 539955/1

Therefore the LCM of Fractions 507/39,639/52,845/63 is 539955

Greatest Common Factor of 39,52,63 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,52,63 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Greatest Common Factor

We found the factors 39,52,63 . The biggest common factor number is the GCF number.
So the greatest common factor 39,52,63 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 507/39, 639/52, 845/63

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 507/39, 639/52, 845/63?

Answer: LCM of Numerators as per given numbers 507/39, 639/52, 845/63 is

LCM of Numerators i.e. for 507,639,845 is 539955

GCF of denominators i.e. for 39,52,63 is 1.

Thus, LCM of Fractions is 539955.Finally, LCM of Fractions for 507/39, 639/52, 845/63 is 539955.