Least Common Multiple of 7744/306, 1384/7216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7744/306, 1384/7216 quickly i.e. 669856 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7744/306, 1384/7216 is 669856.

LCM(7744/306, 1384/7216) = 669856

LCM of 7744/306, 1384/7216

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 7744/306,1384/7216

Given numbers are 7744/306,1384/7216

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 7744,1384

Least Common Multiple of Numerators i.e. LCM of 7744,1384 is 1339712.

GCF of Denominators means GCF of 306,7216 as per the given fractions.

GCF of 306,7216 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7744,1384

LCM of Fractions 7744/306,1384/7216 is 669856

2 7744, 1384
2 3872, 692
2 1936, 346
968, 173

∴ So the LCM of the given numbers is 2 x 2 x 2 x 968 x 173 = 1339712

Least Common Multiple of 7744,1384 with GCF Formula

Least Common Multiple of 7744,1384 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 7744,1384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7744,1384) = 8

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

GCF(7744,1384) x common factors =8 x 1 = 8

LCM(7744,1384) = ( 7744 × 1384 ) / 8

LCM(7744,1384) = 10717696 / 8

LCM(7744,1384) = 1339712


Lets's calculate GCF of 306,7216

2 306, 7216
153, 3608

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1339712/2

Therefore the LCM of Fractions 7744/306,1384/7216 is 669856

Greatest Common Factor of 306,7216 By Matching Biggest Common Factor Method

Greatest Common Factor of 306,7216 By Matching Biggest Common Factor Method

Factors of 306

List of positive integer factors of 306 that divides 306 without a remainder.

1,2,3,6,9,17,18,34,51,102,153,306

Factors of 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216

Greatest Common Factor

We found the factors 306,7216 . The biggest common factor number is the GCF number.
So the greatest common factor 306,7216 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 7744/306, 1384/7216

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 7744/306, 1384/7216?

Answer: LCM of Numerators as per given numbers 7744/306, 1384/7216 is

LCM of Numerators i.e. for 7744,1384 is 1339712

GCF of denominators i.e. for 306,7216 is 2.

Thus, LCM of Fractions is 669856.Finally, LCM of Fractions for 7744/306, 1384/7216 is 669856.