Least Common Multiple of 784/67, 782/9216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/67, 782/9216 quickly i.e. 306544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/67, 782/9216 is 306544.

LCM(784/67, 782/9216) = 306544

LCM of 784/67, 782/9216

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 784/67,782/9216

Given numbers are 784/67,782/9216

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 784,782

Least Common Multiple of Numerators i.e. LCM of 784,782 is 306544.

GCF of Denominators means GCF of 67,9216 as per the given fractions.

GCF of 67,9216 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,782

LCM of Fractions 784/67,782/9216 is 306544

2 784, 782
392, 391

∴ So the LCM of the given numbers is 2 x 392 x 391 = 306544

Least Common Multiple of 784,782 with GCF Formula

Least Common Multiple of 784,782 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 784,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,782) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(784,782) x common factors =2 x 1 = 2

LCM(784,782) = ( 784 × 782 ) / 2

LCM(784,782) = 613088 / 2

LCM(784,782) = 306544


Lets's calculate GCF of 67,9216

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 306544/1

Therefore the LCM of Fractions 784/67,782/9216 is 306544

Greatest Common Factor of 67,9216 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,9216 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 9216

List of positive integer factors of 9216 that divides 9216 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,128,144,192,256,288,384,512,576,768,1024,1152,1536,2304,3072,4608,9216

Greatest Common Factor

We found the factors 67,9216 . The biggest common factor number is the GCF number.
So the greatest common factor 67,9216 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 784/67, 782/9216

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 784/67, 782/9216?

Answer: LCM of Numerators as per given numbers 784/67, 782/9216 is

LCM of Numerators i.e. for 784,782 is 306544

GCF of denominators i.e. for 67,9216 is 1.

Thus, LCM of Fractions is 306544.Finally, LCM of Fractions for 784/67, 782/9216 is 306544.