Least Common Multiple of 84/784, 523/473, 274/821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/784, 523/473, 274/821 quickly i.e. 6018684 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/784, 523/473, 274/821 is 6018684.

LCM(84/784, 523/473, 274/821) = 6018684

LCM of 84/784, 523/473, 274/821

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 84/784,523/473,274/821

Given numbers are 84/784,523/473,274/821

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 84,523,274

Least Common Multiple of Numerators i.e. LCM of 84,523,274 is 6018684.

GCF of Denominators means GCF of 784,473,821 as per the given fractions.

GCF of 784,473,821 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,523,274

LCM of Fractions 84/784,523/473,274/821 is 6018684

2 84, 523, 274
42, 523, 137

∴ So the LCM of the given numbers is 2 x 42 x 523 x 137 = 6018684

Least Common Multiple of 84,523,274 with GCF Formula

Least Common Multiple of 84,523,274 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 84,523,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,523,274) = 1

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

GCF(84,523,274) x common factors =1 x 2 = 2

LCM(84,523,274) = ( 84 × 523 × 274 ) / 2

LCM(84,523,274) = 12037368 / 2

LCM(84,523,274) = 6018684


Lets's calculate GCF of 784,473,821

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6018684/1

Therefore the LCM of Fractions 84/784,523/473,274/821 is 6018684

Greatest Common Factor of 784,473,821 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,473,821 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

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 784,473,821 . The biggest common factor number is the GCF number.
So the greatest common factor 784,473,821 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 84/784, 523/473, 274/821

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 84/784, 523/473, 274/821?

Answer: LCM of Numerators as per given numbers 84/784, 523/473, 274/821 is

LCM of Numerators i.e. for 84,523,274 is 6018684

GCF of denominators i.e. for 784,473,821 is 1.

Thus, LCM of Fractions is 6018684.Finally, LCM of Fractions for 84/784, 523/473, 274/821 is 6018684.