Least Common Multiple of 408/949, 3997/8396

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 408/949, 3997/8396 quickly i.e. 1630776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 408/949, 3997/8396 is 1630776.

LCM(408/949, 3997/8396) = 1630776

LCM of 408/949, 3997/8396

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 408/949,3997/8396

Given numbers are 408/949,3997/8396

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 408,3997

Least Common Multiple of Numerators i.e. LCM of 408,3997 is 1630776.

GCF of Denominators means GCF of 949,8396 as per the given fractions.

GCF of 949,8396 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 408,3997

LCM of Fractions 408/949,3997/8396 is 1630776

Given numbers has no common factors except 1. So, there LCM is their product i.e 1630776

Least Common Multiple of 408,3997 with GCF Formula

Least Common Multiple of 408,3997 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 408,3997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,3997) = 1

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

GCF(408,3997) x common factors =1 x 1 = 1

LCM(408,3997) = ( 408 × 3997 ) / 1

LCM(408,3997) = 1630776 / 1

LCM(408,3997) = 1630776


Lets's calculate GCF of 949,8396

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1630776/1

Therefore the LCM of Fractions 408/949,3997/8396 is 1630776

Greatest Common Factor of 949,8396 By Matching Biggest Common Factor Method

Greatest Common Factor of 949,8396 By Matching Biggest Common Factor Method

Factors of 949

List of positive integer factors of 949 that divides 949 without a remainder.

1,13,73,949

Factors of 8396

List of positive integer factors of 8396 that divides 8396 without a remainder.

1,2,4,2099,4198,8396

Greatest Common Factor

We found the factors 949,8396 . The biggest common factor number is the GCF number.
So the greatest common factor 949,8396 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 408/949, 3997/8396

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 408/949, 3997/8396?

Answer: LCM of Numerators as per given numbers 408/949, 3997/8396 is

LCM of Numerators i.e. for 408,3997 is 1630776

GCF of denominators i.e. for 949,8396 is 1.

Thus, LCM of Fractions is 1630776.Finally, LCM of Fractions for 408/949, 3997/8396 is 1630776.