Least Common Multiple of 438/608, 5998/8712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 438/608, 5998/8712 quickly i.e. 1313562/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 438/608, 5998/8712 is 1313562/8.

LCM(438/608, 5998/8712) = 1313562/8

LCM of 438/608, 5998/8712

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 438/608,5998/8712

Given numbers are 438/608,5998/8712

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 438,5998

Least Common Multiple of Numerators i.e. LCM of 438,5998 is 1313562.

GCF of Denominators means GCF of 608,8712 as per the given fractions.

GCF of 608,8712 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 438,5998

LCM of Fractions 438/608,5998/8712 is 1313562/8

2 438, 5998
219, 2999

∴ So the LCM of the given numbers is 2 x 219 x 2999 = 1313562

Least Common Multiple of 438,5998 with GCF Formula

Least Common Multiple of 438,5998 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 438,5998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(438,5998) = 2

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

GCF(438,5998) x common factors =2 x 1 = 2

LCM(438,5998) = ( 438 × 5998 ) / 2

LCM(438,5998) = 2627124 / 2

LCM(438,5998) = 1313562


Lets's calculate GCF of 608,8712

2 608, 8712
2 304, 4356
2 152, 2178
76, 1089

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1313562/8

Therefore the LCM of Fractions 438/608,5998/8712 is 1313562/8

Greatest Common Factor of 608,8712 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,8712 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 8712

List of positive integer factors of 8712 that divides 8712 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,121,132,198,242,264,363,396,484,726,792,968,1089,1452,2178,2904,4356,8712

Greatest Common Factor

We found the factors 608,8712 . The biggest common factor number is the GCF number.
So the greatest common factor 608,8712 is 8.


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 438/608, 5998/8712

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 438/608, 5998/8712?

Answer: LCM of Numerators as per given numbers 438/608, 5998/8712 is

LCM of Numerators i.e. for 438,5998 is 1313562

GCF of denominators i.e. for 608,8712 is 8.

Thus, LCM of Fractions is 1313562/8.Finally, LCM of Fractions for 438/608, 5998/8712 is 1313562/8.