Least Common Multiple of 4434/283, 7978/3397

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4434/283, 7978/3397 quickly i.e. 17687226 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4434/283, 7978/3397 is 17687226.

LCM(4434/283, 7978/3397) = 17687226

LCM of 4434/283, 7978/3397

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 4434/283,7978/3397

Given numbers are 4434/283,7978/3397

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 4434,7978

Least Common Multiple of Numerators i.e. LCM of 4434,7978 is 17687226.

GCF of Denominators means GCF of 283,3397 as per the given fractions.

GCF of 283,3397 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4434,7978

LCM of Fractions 4434/283,7978/3397 is 17687226

2 4434, 7978
2217, 3989

∴ So the LCM of the given numbers is 2 x 2217 x 3989 = 17687226

Least Common Multiple of 4434,7978 with GCF Formula

Least Common Multiple of 4434,7978 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 4434,7978 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4434,7978) = 2

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

GCF(4434,7978) x common factors =2 x 1 = 2

LCM(4434,7978) = ( 4434 × 7978 ) / 2

LCM(4434,7978) = 35374452 / 2

LCM(4434,7978) = 17687226


Lets's calculate GCF of 283,3397

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17687226/1

Therefore the LCM of Fractions 4434/283,7978/3397 is 17687226

Greatest Common Factor of 283,3397 By Matching Biggest Common Factor Method

Greatest Common Factor of 283,3397 By Matching Biggest Common Factor Method

Factors of 283

List of positive integer factors of 283 that divides 283 without a remainder.

1,283

Factors of 3397

List of positive integer factors of 3397 that divides 3397 without a remainder.

1,43,79,3397

Greatest Common Factor

We found the factors 283,3397 . The biggest common factor number is the GCF number.
So the greatest common factor 283,3397 is 1.


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 4434/283, 7978/3397

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 4434/283, 7978/3397?

Answer: LCM of Numerators as per given numbers 4434/283, 7978/3397 is

LCM of Numerators i.e. for 4434,7978 is 17687226

GCF of denominators i.e. for 283,3397 is 1.

Thus, LCM of Fractions is 17687226.Finally, LCM of Fractions for 4434/283, 7978/3397 is 17687226.