Least Common Multiple of 142/16, 712/1596

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 142/16, 712/1596 quickly i.e. 12638 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 142/16, 712/1596 is 12638.

LCM(142/16, 712/1596) = 12638

LCM of 142/16, 712/1596

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 142/16,712/1596

Given numbers are 142/16,712/1596

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 142,712

Least Common Multiple of Numerators i.e. LCM of 142,712 is 50552.

GCF of Denominators means GCF of 16,1596 as per the given fractions.

GCF of 16,1596 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 142,712

LCM of Fractions 142/16,712/1596 is 12638

2 142, 712
71, 356

∴ So the LCM of the given numbers is 2 x 71 x 356 = 50552

Least Common Multiple of 142,712 with GCF Formula

Least Common Multiple of 142,712 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 142,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(142,712) = 2

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

GCF(142,712) x common factors =2 x 1 = 2

LCM(142,712) = ( 142 × 712 ) / 2

LCM(142,712) = 101104 / 2

LCM(142,712) = 50552


Lets's calculate GCF of 16,1596

2 16, 1596
2 8, 798
4, 399

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50552/4

Therefore the LCM of Fractions 142/16,712/1596 is 12638

Greatest Common Factor of 16,1596 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1596 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Greatest Common Factor

We found the factors 16,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1596 is 4.


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 142/16, 712/1596

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 142/16, 712/1596?

Answer: LCM of Numerators as per given numbers 142/16, 712/1596 is

LCM of Numerators i.e. for 142,712 is 50552

GCF of denominators i.e. for 16,1596 is 4.

Thus, LCM of Fractions is 12638.Finally, LCM of Fractions for 142/16, 712/1596 is 12638.