Least Common Multiple of 1/504, 24/610, 52/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1/504, 24/610, 52/486 quickly i.e. 156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1/504, 24/610, 52/486 is 156.

LCM(1/504, 24/610, 52/486) = 156

LCM of 1/504, 24/610, 52/486

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 1/504,24/610,52/486

Given numbers are 1/504,24/610,52/486

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 1,24,52

Least Common Multiple of Numerators i.e. LCM of 1,24,52 is 312.

GCF of Denominators means GCF of 504,610,486 as per the given fractions.

GCF of 504,610,486 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1,24,52

LCM of Fractions 1/504,24/610,52/486 is 156

2 1, 24, 52
2 1, 12, 26
1, 6, 13

∴ So the LCM of the given numbers is 2 x 2 x 1 x 6 x 13 = 312

Least Common Multiple of 1,24,52 with GCF Formula

Least Common Multiple of 1,24,52 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 1,24,52 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1,24,52) = 1

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

GCF(1,24,52) x common factors =1 x 4 = 4

LCM(1,24,52) = ( 1 × 24 × 52 ) / 4

LCM(1,24,52) = 1248 / 4

LCM(1,24,52) = 312


Lets's calculate GCF of 504,610,486

2 504, 610, 486
252, 305, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 312/2

Therefore the LCM of Fractions 1/504,24/610,52/486 is 156

Greatest Common Factor of 504,610,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 504,610,486 By Matching Biggest Common Factor Method

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 504,610,486 . The biggest common factor number is the GCF number.
So the greatest common factor 504,610,486 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 1/504, 24/610, 52/486

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 1/504, 24/610, 52/486?

Answer: LCM of Numerators as per given numbers 1/504, 24/610, 52/486 is

LCM of Numerators i.e. for 1,24,52 is 312

GCF of denominators i.e. for 504,610,486 is 2.

Thus, LCM of Fractions is 156.Finally, LCM of Fractions for 1/504, 24/610, 52/486 is 156.