Least Common Multiple of 784/69, 271/2767

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 784/69, 271/2767 quickly i.e. 212464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 784/69, 271/2767 is 212464.

LCM(784/69, 271/2767) = 212464

LCM of 784/69, 271/2767

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 784/69,271/2767

Given numbers are 784/69,271/2767

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 784,271

Least Common Multiple of Numerators i.e. LCM of 784,271 is 212464.

GCF of Denominators means GCF of 69,2767 as per the given fractions.

GCF of 69,2767 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 784,271

LCM of Fractions 784/69,271/2767 is 212464

Given numbers has no common factors except 1. So, there LCM is their product i.e 212464

Least Common Multiple of 784,271 with GCF Formula

Least Common Multiple of 784,271 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 784,271 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,271) = 1

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

GCF(784,271) x common factors =1 x 1 = 1

LCM(784,271) = ( 784 × 271 ) / 1

LCM(784,271) = 212464 / 1

LCM(784,271) = 212464


Lets's calculate GCF of 69,2767

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212464/1

Therefore the LCM of Fractions 784/69,271/2767 is 212464

Greatest Common Factor of 69,2767 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,2767 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 2767

List of positive integer factors of 2767 that divides 2767 without a remainder.

1,2767

Greatest Common Factor

We found the factors 69,2767 . The biggest common factor number is the GCF number.
So the greatest common factor 69,2767 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 784/69, 271/2767

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 784/69, 271/2767?

Answer: LCM of Numerators as per given numbers 784/69, 271/2767 is

LCM of Numerators i.e. for 784,271 is 212464

GCF of denominators i.e. for 69,2767 is 1.

Thus, LCM of Fractions is 212464.Finally, LCM of Fractions for 784/69, 271/2767 is 212464.