Least Common Multiple of 1647/917, 6994/784

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1647/917, 6994/784 quickly i.e. 11519118/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1647/917, 6994/784 is 11519118/7.

LCM(1647/917, 6994/784) = 11519118/7

LCM of 1647/917, 6994/784

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 1647/917,6994/784

Given numbers are 1647/917,6994/784

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 1647,6994

Least Common Multiple of Numerators i.e. LCM of 1647,6994 is 11519118.

GCF of Denominators means GCF of 917,784 as per the given fractions.

GCF of 917,784 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1647,6994

LCM of Fractions 1647/917,6994/784 is 11519118/7

Given numbers has no common factors except 1. So, there LCM is their product i.e 11519118

Least Common Multiple of 1647,6994 with GCF Formula

Least Common Multiple of 1647,6994 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 1647,6994 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1647,6994) = 1

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

GCF(1647,6994) x common factors =1 x 1 = 1

LCM(1647,6994) = ( 1647 × 6994 ) / 1

LCM(1647,6994) = 11519118 / 1

LCM(1647,6994) = 11519118


Lets's calculate GCF of 917,784

7 917, 784
131, 112

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11519118/7

Therefore the LCM of Fractions 1647/917,6994/784 is 11519118/7

Greatest Common Factor of 917,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,784 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

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

Greatest Common Factor

We found the factors 917,784 . The biggest common factor number is the GCF number.
So the greatest common factor 917,784 is 7.


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 1647/917, 6994/784

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 1647/917, 6994/784?

Answer: LCM of Numerators as per given numbers 1647/917, 6994/784 is

LCM of Numerators i.e. for 1647,6994 is 11519118

GCF of denominators i.e. for 917,784 is 7.

Thus, LCM of Fractions is 11519118/7.Finally, LCM of Fractions for 1647/917, 6994/784 is 11519118/7.