Least Common Multiple of 77/852, 473/595, 484/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/852, 473/595, 484/329 quickly i.e. 145684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/852, 473/595, 484/329 is 145684.

LCM(77/852, 473/595, 484/329) = 145684

LCM of 77/852, 473/595, 484/329

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 77/852,473/595,484/329

Given numbers are 77/852,473/595,484/329

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 77,473,484

Least Common Multiple of Numerators i.e. LCM of 77,473,484 is 145684.

GCF of Denominators means GCF of 852,595,329 as per the given fractions.

GCF of 852,595,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,473,484

LCM of Fractions 77/852,473/595,484/329 is 145684

11 77, 473, 484
7, 43, 44

∴ So the LCM of the given numbers is 11 x 7 x 43 x 44 = 145684

Least Common Multiple of 77,473,484 with GCF Formula

Least Common Multiple of 77,473,484 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 77,473,484 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,473,484) = 11

common factors(in case of two or more numbers have common factors) = 11

GCF(77,473,484) x common factors =11 x 11 = 121

LCM(77,473,484) = ( 77 × 473 × 484 ) / 121

LCM(77,473,484) = 17627764 / 121

LCM(77,473,484) = 145684


Lets's calculate GCF of 852,595,329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145684/1

Therefore the LCM of Fractions 77/852,473/595,484/329 is 145684

Greatest Common Factor of 852,595,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 852,595,329 By Matching Biggest Common Factor Method

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 852,595,329 . The biggest common factor number is the GCF number.
So the greatest common factor 852,595,329 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 77/852, 473/595, 484/329

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 77/852, 473/595, 484/329?

Answer: LCM of Numerators as per given numbers 77/852, 473/595, 484/329 is

LCM of Numerators i.e. for 77,473,484 is 145684

GCF of denominators i.e. for 852,595,329 is 1.

Thus, LCM of Fractions is 145684.Finally, LCM of Fractions for 77/852, 473/595, 484/329 is 145684.