Least Common Multiple of 48/30, 63/982, 622/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/30, 63/982, 622/192 quickly i.e. 156744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/30, 63/982, 622/192 is 156744.

LCM(48/30, 63/982, 622/192) = 156744

LCM of 48/30, 63/982, 622/192

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 48/30,63/982,622/192

Given numbers are 48/30,63/982,622/192

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 48,63,622

Least Common Multiple of Numerators i.e. LCM of 48,63,622 is 313488.

GCF of Denominators means GCF of 30,982,192 as per the given fractions.

GCF of 30,982,192 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,63,622

LCM of Fractions 48/30,63/982,622/192 is 156744

2 48, 63, 622
3 24, 63, 311
8, 21, 311

∴ So the LCM of the given numbers is 2 x 3 x 8 x 21 x 311 = 313488

Least Common Multiple of 48,63,622 with GCF Formula

Least Common Multiple of 48,63,622 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 48,63,622 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,63,622) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(48,63,622) x common factors =1 x 6 = 6

LCM(48,63,622) = ( 48 × 63 × 622 ) / 6

LCM(48,63,622) = 1880928 / 6

LCM(48,63,622) = 313488


Lets's calculate GCF of 30,982,192

2 30, 982, 192
15, 491, 96

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 313488/2

Therefore the LCM of Fractions 48/30,63/982,622/192 is 156744

Greatest Common Factor of 30,982,192 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,982,192 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 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Factors of 192

List of positive integer factors of 192 that divides 192 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,192

Greatest Common Factor

We found the factors 30,982,192 . The biggest common factor number is the GCF number.
So the greatest common factor 30,982,192 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 48/30, 63/982, 622/192

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 48/30, 63/982, 622/192?

Answer: LCM of Numerators as per given numbers 48/30, 63/982, 622/192 is

LCM of Numerators i.e. for 48,63,622 is 313488

GCF of denominators i.e. for 30,982,192 is 2.

Thus, LCM of Fractions is 156744.Finally, LCM of Fractions for 48/30, 63/982, 622/192 is 156744.