Least Common Multiple of 608/30, 183/14, 712/14

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 608/30, 183/14, 712/14 quickly i.e. 4951248 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/30, 183/14, 712/14 is 4951248.

LCM(608/30, 183/14, 712/14) = 4951248

LCM of 608/30, 183/14, 712/14

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 608/30,183/14,712/14

Given numbers are 608/30,183/14,712/14

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 608,183,712

Least Common Multiple of Numerators i.e. LCM of 608,183,712 is 9902496.

GCF of Denominators means GCF of 30,14,14 as per the given fractions.

GCF of 30,14,14 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,183,712

LCM of Fractions 608/30,183/14,712/14 is 4951248

2 608, 183, 712
2 304, 183, 356
2 152, 183, 178
76, 183, 89

∴ So the LCM of the given numbers is 2 x 2 x 2 x 76 x 183 x 89 = 9902496

Least Common Multiple of 608,183,712 with GCF Formula

Least Common Multiple of 608,183,712 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 608,183,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,183,712) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(608,183,712) x common factors =1 x 8 = 8

LCM(608,183,712) = ( 608 × 183 × 712 ) / 8

LCM(608,183,712) = 79219968 / 8

LCM(608,183,712) = 9902496


Lets's calculate GCF of 30,14,14

2 30, 14, 14
15, 7, 7

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9902496/2

Therefore the LCM of Fractions 608/30,183/14,712/14 is 4951248

Greatest Common Factor of 30,14,14 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,14,14 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Greatest Common Factor

We found the factors 30,14,14 . The biggest common factor number is the GCF number.
So the greatest common factor 30,14,14 is 2.


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 608/30, 183/14, 712/14

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 608/30, 183/14, 712/14?

Answer: LCM of Numerators as per given numbers 608/30, 183/14, 712/14 is

LCM of Numerators i.e. for 608,183,712 is 9902496

GCF of denominators i.e. for 30,14,14 is 2.

Thus, LCM of Fractions is 4951248.Finally, LCM of Fractions for 608/30, 183/14, 712/14 is 4951248.