Least Common Multiple of 68/536, 482/764, 287/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/536, 482/764, 287/569 quickly i.e. 4703356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/536, 482/764, 287/569 is 4703356.

LCM(68/536, 482/764, 287/569) = 4703356

LCM of 68/536, 482/764, 287/569

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 68/536,482/764,287/569

Given numbers are 68/536,482/764,287/569

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 68,482,287

Least Common Multiple of Numerators i.e. LCM of 68,482,287 is 4703356.

GCF of Denominators means GCF of 536,764,569 as per the given fractions.

GCF of 536,764,569 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,482,287

LCM of Fractions 68/536,482/764,287/569 is 4703356

2 68, 482, 287
34, 241, 287

∴ So the LCM of the given numbers is 2 x 34 x 241 x 287 = 4703356

Least Common Multiple of 68,482,287 with GCF Formula

Least Common Multiple of 68,482,287 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 68,482,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,482,287) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(68,482,287) x common factors =1 x 2 = 2

LCM(68,482,287) = ( 68 × 482 × 287 ) / 2

LCM(68,482,287) = 9406712 / 2

LCM(68,482,287) = 4703356


Lets's calculate GCF of 536,764,569

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4703356/1

Therefore the LCM of Fractions 68/536,482/764,287/569 is 4703356

Greatest Common Factor of 536,764,569 By Matching Biggest Common Factor Method

Greatest Common Factor of 536,764,569 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 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 569

List of positive integer factors of 569 that divides 569 without a remainder.

1,569

Greatest Common Factor

We found the factors 536,764,569 . The biggest common factor number is the GCF number.
So the greatest common factor 536,764,569 is 1.


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 68/536, 482/764, 287/569

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 68/536, 482/764, 287/569?

Answer: LCM of Numerators as per given numbers 68/536, 482/764, 287/569 is

LCM of Numerators i.e. for 68,482,287 is 4703356

GCF of denominators i.e. for 536,764,569 is 1.

Thus, LCM of Fractions is 4703356.Finally, LCM of Fractions for 68/536, 482/764, 287/569 is 4703356.