Least Common Multiple of 3397/636, 9878/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 3397/636, 9878/464 quickly i.e. 33555566/4 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3397/636, 9878/464 is 33555566/4.

LCM(3397/636, 9878/464) = 33555566/4

LCM of 3397/636, 9878/464

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 3397/636,9878/464

Given numbers are 3397/636,9878/464

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 3397,9878

Least Common Multiple of Numerators i.e. LCM of 3397,9878 is 33555566.

GCF of Denominators means GCF of 636,464 as per the given fractions.

GCF of 636,464 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3397,9878

LCM of Fractions 3397/636,9878/464 is 33555566/4

Given numbers has no common factors except 1. So, there LCM is their product i.e 33555566

Least Common Multiple of 3397,9878 with GCF Formula

Least Common Multiple of 3397,9878 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 3397,9878 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3397,9878) = 1

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

GCF(3397,9878) x common factors =1 x 1 = 1

LCM(3397,9878) = ( 3397 × 9878 ) / 1

LCM(3397,9878) = 33555566 / 1

LCM(3397,9878) = 33555566


Lets's calculate GCF of 636,464

2 636, 464
2 318, 232
159, 116

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33555566/4

Therefore the LCM of Fractions 3397/636,9878/464 is 33555566/4

Greatest Common Factor of 636,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 636,464 By Matching Biggest Common Factor Method

Factors of 636

List of positive integer factors of 636 that divides 636 without a remainder.

1,2,3,4,6,12,53,106,159,212,318,636

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 636,464 . The biggest common factor number is the GCF number.
So the greatest common factor 636,464 is 4.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 3397/636, 9878/464

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 3397/636, 9878/464?

Answer: LCM of Numerators as per given numbers 3397/636, 9878/464 is

LCM of Numerators i.e. for 3397,9878 is 33555566

GCF of denominators i.e. for 636,464 is 4.

Thus, LCM of Fractions is 33555566/4.Finally, LCM of Fractions for 3397/636, 9878/464 is 33555566/4.