Least Common Multiple of 16/712, 5624/7395

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/712, 5624/7395 quickly i.e. 11248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/712, 5624/7395 is 11248.

LCM(16/712, 5624/7395) = 11248

LCM of 16/712, 5624/7395

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 16/712,5624/7395

Given numbers are 16/712,5624/7395

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 16,5624

Least Common Multiple of Numerators i.e. LCM of 16,5624 is 11248.

GCF of Denominators means GCF of 712,7395 as per the given fractions.

GCF of 712,7395 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,5624

LCM of Fractions 16/712,5624/7395 is 11248

2 16, 5624
2 8, 2812
2 4, 1406
2, 703

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 703 = 11248

Least Common Multiple of 16,5624 with GCF Formula

Least Common Multiple of 16,5624 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 16,5624 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,5624) = 8

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

GCF(16,5624) x common factors =8 x 1 = 8

LCM(16,5624) = ( 16 × 5624 ) / 8

LCM(16,5624) = 89984 / 8

LCM(16,5624) = 11248


Lets's calculate GCF of 712,7395

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11248/1

Therefore the LCM of Fractions 16/712,5624/7395 is 11248

Greatest Common Factor of 712,7395 By Matching Biggest Common Factor Method

Greatest Common Factor of 712,7395 By Matching Biggest Common Factor Method

Factors of 712

List of positive integer factors of 712 that divides 712 without a remainder.

1,2,4,8,89,178,356,712

Factors of 7395

List of positive integer factors of 7395 that divides 7395 without a remainder.

1,3,5,15,17,29,51,85,87,145,255,435,493,1479,2465,7395

Greatest Common Factor

We found the factors 712,7395 . The biggest common factor number is the GCF number.
So the greatest common factor 712,7395 is 1.


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 16/712, 5624/7395

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 16/712, 5624/7395?

Answer: LCM of Numerators as per given numbers 16/712, 5624/7395 is

LCM of Numerators i.e. for 16,5624 is 11248

GCF of denominators i.e. for 712,7395 is 1.

Thus, LCM of Fractions is 11248.Finally, LCM of Fractions for 16/712, 5624/7395 is 11248.