Least Common Multiple of 4414/76, 8744/306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4414/76, 8744/306 quickly i.e. 9649004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4414/76, 8744/306 is 9649004.

LCM(4414/76, 8744/306) = 9649004

LCM of 4414/76, 8744/306

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 4414/76,8744/306

Given numbers are 4414/76,8744/306

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 4414,8744

Least Common Multiple of Numerators i.e. LCM of 4414,8744 is 19298008.

GCF of Denominators means GCF of 76,306 as per the given fractions.

GCF of 76,306 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4414,8744

LCM of Fractions 4414/76,8744/306 is 9649004

2 4414, 8744
2207, 4372

∴ So the LCM of the given numbers is 2 x 2207 x 4372 = 19298008

Least Common Multiple of 4414,8744 with GCF Formula

Least Common Multiple of 4414,8744 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 4414,8744 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4414,8744) = 2

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

GCF(4414,8744) x common factors =2 x 1 = 2

LCM(4414,8744) = ( 4414 × 8744 ) / 2

LCM(4414,8744) = 38596016 / 2

LCM(4414,8744) = 19298008


Lets's calculate GCF of 76,306

2 76, 306
38, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19298008/2

Therefore the LCM of Fractions 4414/76,8744/306 is 9649004

Greatest Common Factor of 76,306 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,306 By Matching Biggest Common Factor Method

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

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

Greatest Common Factor

We found the factors 76,306 . The biggest common factor number is the GCF number.
So the greatest common factor 76,306 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 4414/76, 8744/306

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 4414/76, 8744/306?

Answer: LCM of Numerators as per given numbers 4414/76, 8744/306 is

LCM of Numerators i.e. for 4414,8744 is 19298008

GCF of denominators i.e. for 76,306 is 2.

Thus, LCM of Fractions is 9649004.Finally, LCM of Fractions for 4414/76, 8744/306 is 9649004.