Least Common Multiple of 486/528, 317/713, 228/922

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/528, 317/713, 228/922 quickly i.e. 5854356 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/528, 317/713, 228/922 is 5854356.

LCM(486/528, 317/713, 228/922) = 5854356

LCM of 486/528, 317/713, 228/922

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 486/528,317/713,228/922

Given numbers are 486/528,317/713,228/922

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 486,317,228

Least Common Multiple of Numerators i.e. LCM of 486,317,228 is 5854356.

GCF of Denominators means GCF of 528,713,922 as per the given fractions.

GCF of 528,713,922 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,317,228

LCM of Fractions 486/528,317/713,228/922 is 5854356

2 486, 317, 228
3 243, 317, 114
81, 317, 38

∴ So the LCM of the given numbers is 2 x 3 x 81 x 317 x 38 = 5854356

Least Common Multiple of 486,317,228 with GCF Formula

Least Common Multiple of 486,317,228 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 486,317,228 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,317,228) = 1

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

GCF(486,317,228) x common factors =1 x 6 = 6

LCM(486,317,228) = ( 486 × 317 × 228 ) / 6

LCM(486,317,228) = 35126136 / 6

LCM(486,317,228) = 5854356


Lets's calculate GCF of 528,713,922

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5854356/1

Therefore the LCM of Fractions 486/528,317/713,228/922 is 5854356

Greatest Common Factor of 528,713,922 By Matching Biggest Common Factor Method

Greatest Common Factor of 528,713,922 By Matching Biggest Common Factor Method

Factors of 528

List of positive integer factors of 528 that divides 528 without a remainder.

1,2,3,4,6,8,11,12,16,22,24,33,44,48,66,88,132,176,264,528

Factors of 713

List of positive integer factors of 713 that divides 713 without a remainder.

1,23,31,713

Factors of 922

List of positive integer factors of 922 that divides 922 without a remainder.

1,2,461,922

Greatest Common Factor

We found the factors 528,713,922 . The biggest common factor number is the GCF number.
So the greatest common factor 528,713,922 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 486/528, 317/713, 228/922

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 486/528, 317/713, 228/922?

Answer: LCM of Numerators as per given numbers 486/528, 317/713, 228/922 is

LCM of Numerators i.e. for 486,317,228 is 5854356

GCF of denominators i.e. for 528,713,922 is 1.

Thus, LCM of Fractions is 5854356.Finally, LCM of Fractions for 486/528, 317/713, 228/922 is 5854356.