Least Common Multiple of 1648/234, 6983/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1648/234, 6983/793 quickly i.e. 11507984/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1648/234, 6983/793 is 11507984/13.

LCM(1648/234, 6983/793) = 11507984/13

LCM of 1648/234, 6983/793

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 1648/234,6983/793

Given numbers are 1648/234,6983/793

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 1648,6983

Least Common Multiple of Numerators i.e. LCM of 1648,6983 is 11507984.

GCF of Denominators means GCF of 234,793 as per the given fractions.

GCF of 234,793 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1648,6983

LCM of Fractions 1648/234,6983/793 is 11507984/13

Given numbers has no common factors except 1. So, there LCM is their product i.e 11507984

Least Common Multiple of 1648,6983 with GCF Formula

Least Common Multiple of 1648,6983 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 1648,6983 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1648,6983) = 1

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

GCF(1648,6983) x common factors =1 x 1 = 1

LCM(1648,6983) = ( 1648 × 6983 ) / 1

LCM(1648,6983) = 11507984 / 1

LCM(1648,6983) = 11507984


Lets's calculate GCF of 234,793

13 234, 793
18, 61

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11507984/13

Therefore the LCM of Fractions 1648/234,6983/793 is 11507984/13

Greatest Common Factor of 234,793 By Matching Biggest Common Factor Method

Greatest Common Factor of 234,793 By Matching Biggest Common Factor Method

Factors of 234

List of positive integer factors of 234 that divides 234 without a remainder.

1,2,3,6,9,13,18,26,39,78,117,234

Factors of 793

List of positive integer factors of 793 that divides 793 without a remainder.

1,13,61,793

Greatest Common Factor

We found the factors 234,793 . The biggest common factor number is the GCF number.
So the greatest common factor 234,793 is 13.


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 1648/234, 6983/793

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 1648/234, 6983/793?

Answer: LCM of Numerators as per given numbers 1648/234, 6983/793 is

LCM of Numerators i.e. for 1648,6983 is 11507984

GCF of denominators i.e. for 234,793 is 13.

Thus, LCM of Fractions is 11507984/13.Finally, LCM of Fractions for 1648/234, 6983/793 is 11507984/13.