Least Common Multiple of 69/536, 585/234, 179/504

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/536, 585/234, 179/504 quickly i.e. 2408445/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/536, 585/234, 179/504 is 2408445/2.

LCM(69/536, 585/234, 179/504) = 2408445/2

LCM of 69/536, 585/234, 179/504

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 69/536,585/234,179/504

Given numbers are 69/536,585/234,179/504

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 69,585,179

Least Common Multiple of Numerators i.e. LCM of 69,585,179 is 2408445.

GCF of Denominators means GCF of 536,234,504 as per the given fractions.

GCF of 536,234,504 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,585,179

LCM of Fractions 69/536,585/234,179/504 is 2408445/2

3 69, 585, 179
23, 195, 179

∴ So the LCM of the given numbers is 3 x 23 x 195 x 179 = 2408445

Least Common Multiple of 69,585,179 with GCF Formula

Least Common Multiple of 69,585,179 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 69,585,179 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,585,179) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(69,585,179) x common factors =1 x 3 = 3

LCM(69,585,179) = ( 69 × 585 × 179 ) / 3

LCM(69,585,179) = 7225335 / 3

LCM(69,585,179) = 2408445


Lets's calculate GCF of 536,234,504

2 536, 234, 504
268, 117, 252

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2408445/2

Therefore the LCM of Fractions 69/536,585/234,179/504 is 2408445/2

Greatest Common Factor of 536,234,504 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,234,504 By Matching Biggest Common Factor Method

Factors of 536

List of positive integer factors of 536 that divides 536 without a remainder.

1,2,4,8,67,134,268,536

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

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

Greatest Common Factor

We found the factors 536,234,504 . The biggest common factor number is the GCF number.
So the greatest common factor 536,234,504 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 69/536, 585/234, 179/504

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 69/536, 585/234, 179/504?

Answer: LCM of Numerators as per given numbers 69/536, 585/234, 179/504 is

LCM of Numerators i.e. for 69,585,179 is 2408445

GCF of denominators i.e. for 536,234,504 is 2.

Thus, LCM of Fractions is 2408445/2.Finally, LCM of Fractions for 69/536, 585/234, 179/504 is 2408445/2.