Least Common Multiple of 1032/803, 7992/847

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1032/803, 7992/847 quickly i.e. 343656/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1032/803, 7992/847 is 343656/11.

LCM(1032/803, 7992/847) = 343656/11

LCM of 1032/803, 7992/847

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 1032/803,7992/847

Given numbers are 1032/803,7992/847

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 1032,7992

Least Common Multiple of Numerators i.e. LCM of 1032,7992 is 343656.

GCF of Denominators means GCF of 803,847 as per the given fractions.

GCF of 803,847 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1032,7992

LCM of Fractions 1032/803,7992/847 is 343656/11

2 1032, 7992
2 516, 3996
2 258, 1998
3 129, 999
43, 333

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 43 x 333 = 343656

Least Common Multiple of 1032,7992 with GCF Formula

Least Common Multiple of 1032,7992 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 1032,7992 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1032,7992) = 24

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

GCF(1032,7992) x common factors =24 x 1 = 24

LCM(1032,7992) = ( 1032 × 7992 ) / 24

LCM(1032,7992) = 8247744 / 24

LCM(1032,7992) = 343656


Lets's calculate GCF of 803,847

11 803, 847
73, 77

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343656/11

Therefore the LCM of Fractions 1032/803,7992/847 is 343656/11

Greatest Common Factor of 803,847 By Matching Biggest Common Factor Method

Greatest Common Factor of 803,847 By Matching Biggest Common Factor Method

Factors of 803

List of positive integer factors of 803 that divides 803 without a remainder.

1,11,73,803

Factors of 847

List of positive integer factors of 847 that divides 847 without a remainder.

1,7,11,77,121,847

Greatest Common Factor

We found the factors 803,847 . The biggest common factor number is the GCF number.
So the greatest common factor 803,847 is 11.


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 1032/803, 7992/847

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 1032/803, 7992/847?

Answer: LCM of Numerators as per given numbers 1032/803, 7992/847 is

LCM of Numerators i.e. for 1032,7992 is 343656

GCF of denominators i.e. for 803,847 is 11.

Thus, LCM of Fractions is 343656/11.Finally, LCM of Fractions for 1032/803, 7992/847 is 343656/11.