Least Common Multiple of 852/69, 566/77, 819/653

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 852/69, 566/77, 819/653 quickly i.e. 65824668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 852/69, 566/77, 819/653 is 65824668.

LCM(852/69, 566/77, 819/653) = 65824668

LCM of 852/69, 566/77, 819/653

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 852/69,566/77,819/653

Given numbers are 852/69,566/77,819/653

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 852,566,819

Least Common Multiple of Numerators i.e. LCM of 852,566,819 is 65824668.

GCF of Denominators means GCF of 69,77,653 as per the given fractions.

GCF of 69,77,653 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 852,566,819

LCM of Fractions 852/69,566/77,819/653 is 65824668

2 852, 566, 819
3 426, 283, 819
142, 283, 273

∴ So the LCM of the given numbers is 2 x 3 x 142 x 283 x 273 = 65824668

Least Common Multiple of 852,566,819 with GCF Formula

Least Common Multiple of 852,566,819 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 852,566,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(852,566,819) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(852,566,819) x common factors =1 x 6 = 6

LCM(852,566,819) = ( 852 × 566 × 819 ) / 6

LCM(852,566,819) = 394948008 / 6

LCM(852,566,819) = 65824668


Lets's calculate GCF of 69,77,653

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65824668/1

Therefore the LCM of Fractions 852/69,566/77,819/653 is 65824668

Greatest Common Factor of 69,77,653 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,77,653 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Greatest Common Factor

We found the factors 69,77,653 . The biggest common factor number is the GCF number.
So the greatest common factor 69,77,653 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 852/69, 566/77, 819/653

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 852/69, 566/77, 819/653?

Answer: LCM of Numerators as per given numbers 852/69, 566/77, 819/653 is

LCM of Numerators i.e. for 852,566,819 is 65824668

GCF of denominators i.e. for 69,77,653 is 1.

Thus, LCM of Fractions is 65824668.Finally, LCM of Fractions for 852/69, 566/77, 819/653 is 65824668.