Least Common Multiple of 712/28, 5332/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 712/28, 5332/434 quickly i.e. 949096/14 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 712/28, 5332/434 is 949096/14.

LCM(712/28, 5332/434) = 949096/14

LCM of 712/28, 5332/434

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 712/28,5332/434

Given numbers are 712/28,5332/434

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 712,5332

Least Common Multiple of Numerators i.e. LCM of 712,5332 is 949096.

GCF of Denominators means GCF of 28,434 as per the given fractions.

GCF of 28,434 is 14 as it is the largest common factor for these numbers.

Lets's calculate LCM of 712,5332

LCM of Fractions 712/28,5332/434 is 949096/14

2 712, 5332
2 356, 2666
178, 1333

∴ So the LCM of the given numbers is 2 x 2 x 178 x 1333 = 949096

Least Common Multiple of 712,5332 with GCF Formula

Least Common Multiple of 712,5332 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 712,5332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(712,5332) = 4

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

GCF(712,5332) x common factors =4 x 1 = 4

LCM(712,5332) = ( 712 × 5332 ) / 4

LCM(712,5332) = 3796384 / 4

LCM(712,5332) = 949096


Lets's calculate GCF of 28,434

2 28, 434
7 14, 217
2, 31

∴ So the GCF of the given numbers is 2 x 7 = 14

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 949096/14

Therefore the LCM of Fractions 712/28,5332/434 is 949096/14

Greatest Common Factor of 28,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,434 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Greatest Common Factor

We found the factors 28,434 . The biggest common factor number is the GCF number.
So the greatest common factor 28,434 is 14.


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 712/28, 5332/434

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 712/28, 5332/434?

Answer: LCM of Numerators as per given numbers 712/28, 5332/434 is

LCM of Numerators i.e. for 712,5332 is 949096

GCF of denominators i.e. for 28,434 is 14.

Thus, LCM of Fractions is 949096/14.Finally, LCM of Fractions for 712/28, 5332/434 is 949096/14.