Least Common Multiple of 69/260, 52/560, 504/992

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/260, 52/560, 504/992 quickly i.e. 37674 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/260, 52/560, 504/992 is 37674.

LCM(69/260, 52/560, 504/992) = 37674

LCM of 69/260, 52/560, 504/992

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 69/260,52/560,504/992

Given numbers are 69/260,52/560,504/992

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 69,52,504

Least Common Multiple of Numerators i.e. LCM of 69,52,504 is 150696.

GCF of Denominators means GCF of 260,560,992 as per the given fractions.

GCF of 260,560,992 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,52,504

LCM of Fractions 69/260,52/560,504/992 is 37674

2 69, 52, 504
2 69, 26, 252
3 69, 13, 126
23, 13, 42

∴ So the LCM of the given numbers is 2 x 2 x 3 x 23 x 13 x 42 = 150696

Least Common Multiple of 69,52,504 with GCF Formula

Least Common Multiple of 69,52,504 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 69,52,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,52,504) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(69,52,504) x common factors =1 x 12 = 12

LCM(69,52,504) = ( 69 × 52 × 504 ) / 12

LCM(69,52,504) = 1808352 / 12

LCM(69,52,504) = 150696


Lets's calculate GCF of 260,560,992

2 260, 560, 992
2 130, 280, 496
65, 140, 248

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150696/4

Therefore the LCM of Fractions 69/260,52/560,504/992 is 37674

Greatest Common Factor of 260,560,992 By Matching Biggest Common Factor Method

Greatest Common Factor of 260,560,992 By Matching Biggest Common Factor Method

Factors of 260

List of positive integer factors of 260 that divides 260 without a remainder.

1,2,4,5,10,13,20,26,52,65,130,260

Factors of 560

List of positive integer factors of 560 that divides 560 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560

Factors of 992

List of positive integer factors of 992 that divides 992 without a remainder.

1,2,4,8,16,31,32,62,124,248,496,992

Greatest Common Factor

We found the factors 260,560,992 . The biggest common factor number is the GCF number.
So the greatest common factor 260,560,992 is 4.


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 69/260, 52/560, 504/992

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 69/260, 52/560, 504/992?

Answer: LCM of Numerators as per given numbers 69/260, 52/560, 504/992 is

LCM of Numerators i.e. for 69,52,504 is 150696

GCF of denominators i.e. for 260,560,992 is 4.

Thus, LCM of Fractions is 37674.Finally, LCM of Fractions for 69/260, 52/560, 504/992 is 37674.