Least Common Multiple of 8300/398, 3874/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8300/398, 3874/978 quickly i.e. 8038550 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8300/398, 3874/978 is 8038550.

LCM(8300/398, 3874/978) = 8038550

LCM of 8300/398, 3874/978

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 8300/398,3874/978

Given numbers are 8300/398,3874/978

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 8300,3874

Least Common Multiple of Numerators i.e. LCM of 8300,3874 is 16077100.

GCF of Denominators means GCF of 398,978 as per the given fractions.

GCF of 398,978 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8300,3874

LCM of Fractions 8300/398,3874/978 is 8038550

2 8300, 3874
4150, 1937

∴ So the LCM of the given numbers is 2 x 4150 x 1937 = 16077100

Least Common Multiple of 8300,3874 with GCF Formula

Least Common Multiple of 8300,3874 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 8300,3874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8300,3874) = 2

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

GCF(8300,3874) x common factors =2 x 1 = 2

LCM(8300,3874) = ( 8300 × 3874 ) / 2

LCM(8300,3874) = 32154200 / 2

LCM(8300,3874) = 16077100


Lets's calculate GCF of 398,978

2 398, 978
199, 489

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16077100/2

Therefore the LCM of Fractions 8300/398,3874/978 is 8038550

Greatest Common Factor of 398,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 398,978 By Matching Biggest Common Factor Method

Factors of 398

List of positive integer factors of 398 that divides 398 without a remainder.

1,2,199,398

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 398,978 . The biggest common factor number is the GCF number.
So the greatest common factor 398,978 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 8300/398, 3874/978

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 8300/398, 3874/978?

Answer: LCM of Numerators as per given numbers 8300/398, 3874/978 is

LCM of Numerators i.e. for 8300,3874 is 16077100

GCF of denominators i.e. for 398,978 is 2.

Thus, LCM of Fractions is 8038550.Finally, LCM of Fractions for 8300/398, 3874/978 is 8038550.