Least Common Multiple of 674/80, 781/5632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/80, 781/5632 quickly i.e. 526394/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/80, 781/5632 is 526394/16.

LCM(674/80, 781/5632) = 526394/16

LCM of 674/80, 781/5632

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 674/80,781/5632

Given numbers are 674/80,781/5632

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 674,781

Least Common Multiple of Numerators i.e. LCM of 674,781 is 526394.

GCF of Denominators means GCF of 80,5632 as per the given fractions.

GCF of 80,5632 is 16 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,781

LCM of Fractions 674/80,781/5632 is 526394/16

Given numbers has no common factors except 1. So, there LCM is their product i.e 526394

Least Common Multiple of 674,781 with GCF Formula

Least Common Multiple of 674,781 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 674,781 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,781) = 1

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

GCF(674,781) x common factors =1 x 1 = 1

LCM(674,781) = ( 674 × 781 ) / 1

LCM(674,781) = 526394 / 1

LCM(674,781) = 526394


Lets's calculate GCF of 80,5632

2 80, 5632
2 40, 2816
2 20, 1408
2 10, 704
5, 352

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 526394/16

Therefore the LCM of Fractions 674/80,781/5632 is 526394/16

Greatest Common Factor of 80,5632 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,5632 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 5632

List of positive integer factors of 5632 that divides 5632 without a remainder.

1,2,4,8,11,16,22,32,44,64,88,128,176,256,352,512,704,1408,2816,5632

Greatest Common Factor

We found the factors 80,5632 . The biggest common factor number is the GCF number.
So the greatest common factor 80,5632 is 16.


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 674/80, 781/5632

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 674/80, 781/5632?

Answer: LCM of Numerators as per given numbers 674/80, 781/5632 is

LCM of Numerators i.e. for 674,781 is 526394

GCF of denominators i.e. for 80,5632 is 16.

Thus, LCM of Fractions is 526394/16.Finally, LCM of Fractions for 674/80, 781/5632 is 526394/16.