Least Common Multiple of 4337/628, 3367/4354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 4337/628, 3367/4354 quickly i.e. 14602679/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4337/628, 3367/4354 is 14602679/2.

LCM(4337/628, 3367/4354) = 14602679/2

LCM of 4337/628, 3367/4354

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 4337/628,3367/4354

Given numbers are 4337/628,3367/4354

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 4337,3367

Least Common Multiple of Numerators i.e. LCM of 4337,3367 is 14602679.

GCF of Denominators means GCF of 628,4354 as per the given fractions.

GCF of 628,4354 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4337,3367

LCM of Fractions 4337/628,3367/4354 is 14602679/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 14602679

Least Common Multiple of 4337,3367 with GCF Formula

Least Common Multiple of 4337,3367 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 4337,3367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4337,3367) = 1

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

GCF(4337,3367) x common factors =1 x 1 = 1

LCM(4337,3367) = ( 4337 × 3367 ) / 1

LCM(4337,3367) = 14602679 / 1

LCM(4337,3367) = 14602679


Lets's calculate GCF of 628,4354

2 628, 4354
314, 2177

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14602679/2

Therefore the LCM of Fractions 4337/628,3367/4354 is 14602679/2

Greatest Common Factor of 628,4354 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,4354 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 4354

List of positive integer factors of 4354 that divides 4354 without a remainder.

1,2,7,14,311,622,2177,4354

Greatest Common Factor

We found the factors 628,4354 . The biggest common factor number is the GCF number.
So the greatest common factor 628,4354 is 2.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 4337/628, 3367/4354

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 4337/628, 3367/4354?

Answer: LCM of Numerators as per given numbers 4337/628, 3367/4354 is

LCM of Numerators i.e. for 4337,3367 is 14602679

GCF of denominators i.e. for 628,4354 is 2.

Thus, LCM of Fractions is 14602679/2.Finally, LCM of Fractions for 4337/628, 3367/4354 is 14602679/2.