Least Common Multiple of 784/217, 115/497, 833/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/217, 115/497, 833/139 quickly i.e. 1532720 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/217, 115/497, 833/139 is 1532720.

LCM(784/217, 115/497, 833/139) = 1532720

LCM of 784/217, 115/497, 833/139

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 784/217,115/497,833/139

Given numbers are 784/217,115/497,833/139

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 784,115,833

Least Common Multiple of Numerators i.e. LCM of 784,115,833 is 1532720.

GCF of Denominators means GCF of 217,497,139 as per the given fractions.

GCF of 217,497,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,115,833

LCM of Fractions 784/217,115/497,833/139 is 1532720

7 784, 115, 833
7 112, 115, 119
16, 115, 17

∴ So the LCM of the given numbers is 7 x 7 x 16 x 115 x 17 = 1532720

Least Common Multiple of 784,115,833 with GCF Formula

Least Common Multiple of 784,115,833 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 784,115,833 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,115,833) = 1

common factors(in case of two or more numbers have common factors) = 49

GCF(784,115,833) x common factors =1 x 49 = 49

LCM(784,115,833) = ( 784 × 115 × 833 ) / 49

LCM(784,115,833) = 75103280 / 49

LCM(784,115,833) = 1532720


Lets's calculate GCF of 217,497,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1532720/1

Therefore the LCM of Fractions 784/217,115/497,833/139 is 1532720

Greatest Common Factor of 217,497,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 217,497,139 By Matching Biggest Common Factor Method

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Factors of 497

List of positive integer factors of 497 that divides 497 without a remainder.

1,7,71,497

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 217,497,139 . The biggest common factor number is the GCF number.
So the greatest common factor 217,497,139 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 784/217, 115/497, 833/139

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 784/217, 115/497, 833/139?

Answer: LCM of Numerators as per given numbers 784/217, 115/497, 833/139 is

LCM of Numerators i.e. for 784,115,833 is 1532720

GCF of denominators i.e. for 217,497,139 is 1.

Thus, LCM of Fractions is 1532720.Finally, LCM of Fractions for 784/217, 115/497, 833/139 is 1532720.