Least Common Multiple of 484/967, 196/913, 591/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 484/967, 196/913, 591/821 quickly i.e. 14016156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 484/967, 196/913, 591/821 is 14016156.

LCM(484/967, 196/913, 591/821) = 14016156

LCM of 484/967, 196/913, 591/821

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 484/967,196/913,591/821

Given numbers are 484/967,196/913,591/821

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 484,196,591

Least Common Multiple of Numerators i.e. LCM of 484,196,591 is 14016156.

GCF of Denominators means GCF of 967,913,821 as per the given fractions.

GCF of 967,913,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 484,196,591

LCM of Fractions 484/967,196/913,591/821 is 14016156

2 484, 196, 591
2 242, 98, 591
121, 49, 591

∴ So the LCM of the given numbers is 2 x 2 x 121 x 49 x 591 = 14016156

Least Common Multiple of 484,196,591 with GCF Formula

Least Common Multiple of 484,196,591 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 484,196,591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(484,196,591) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(484,196,591) x common factors =1 x 4 = 4

LCM(484,196,591) = ( 484 × 196 × 591 ) / 4

LCM(484,196,591) = 56064624 / 4

LCM(484,196,591) = 14016156


Lets's calculate GCF of 967,913,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14016156/1

Therefore the LCM of Fractions 484/967,196/913,591/821 is 14016156

Greatest Common Factor of 967,913,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 967,913,821 By Matching Biggest Common Factor Method

Factors of 967

List of positive integer factors of 967 that divides 967 without a remainder.

1,967

Factors of 913

List of positive integer factors of 913 that divides 913 without a remainder.

1,11,83,913

Factors of 821

List of positive integer factors of 821 that divides 821 without a remainder.

1,821

Greatest Common Factor

We found the factors 967,913,821 . The biggest common factor number is the GCF number.
So the greatest common factor 967,913,821 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 484/967, 196/913, 591/821

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 484/967, 196/913, 591/821?

Answer: LCM of Numerators as per given numbers 484/967, 196/913, 591/821 is

LCM of Numerators i.e. for 484,196,591 is 14016156

GCF of denominators i.e. for 967,913,821 is 1.

Thus, LCM of Fractions is 14016156.Finally, LCM of Fractions for 484/967, 196/913, 591/821 is 14016156.