Least Common Multiple of 16/98, 21/64, 304/662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/98, 21/64, 304/662 quickly i.e. 3192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/98, 21/64, 304/662 is 3192.

LCM(16/98, 21/64, 304/662) = 3192

LCM of 16/98, 21/64, 304/662

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 16/98,21/64,304/662

Given numbers are 16/98,21/64,304/662

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 16,21,304

Least Common Multiple of Numerators i.e. LCM of 16,21,304 is 6384.

GCF of Denominators means GCF of 98,64,662 as per the given fractions.

GCF of 98,64,662 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,21,304

LCM of Fractions 16/98,21/64,304/662 is 3192

2 16, 21, 304
2 8, 21, 152
2 4, 21, 76
2 2, 21, 38
1, 21, 19

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 21 x 19 = 6384

Least Common Multiple of 16,21,304 with GCF Formula

Least Common Multiple of 16,21,304 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 16,21,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,21,304) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(16,21,304) x common factors =1 x 16 = 16

LCM(16,21,304) = ( 16 × 21 × 304 ) / 16

LCM(16,21,304) = 102144 / 16

LCM(16,21,304) = 6384


Lets's calculate GCF of 98,64,662

2 98, 64, 662
49, 32, 331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6384/2

Therefore the LCM of Fractions 16/98,21/64,304/662 is 3192

Greatest Common Factor of 98,64,662 By Matching Biggest Common Factor Method

Greatest Common Factor of 98,64,662 By Matching Biggest Common Factor Method

Factors of 98

List of positive integer factors of 98 that divides 98 without a remainder.

1,2,7,14,49,98

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 662

List of positive integer factors of 662 that divides 662 without a remainder.

1,2,331,662

Greatest Common Factor

We found the factors 98,64,662 . The biggest common factor number is the GCF number.
So the greatest common factor 98,64,662 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 16/98, 21/64, 304/662

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 16/98, 21/64, 304/662?

Answer: LCM of Numerators as per given numbers 16/98, 21/64, 304/662 is

LCM of Numerators i.e. for 16,21,304 is 6384

GCF of denominators i.e. for 98,64,662 is 2.

Thus, LCM of Fractions is 3192.Finally, LCM of Fractions for 16/98, 21/64, 304/662 is 3192.