Least Common Multiple of 978/400, 899/600, 839/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 978/400, 899/600, 839/214 quickly i.e. 368833629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 978/400, 899/600, 839/214 is 368833629.

LCM(978/400, 899/600, 839/214) = 368833629

LCM of 978/400, 899/600, 839/214

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 978/400,899/600,839/214

Given numbers are 978/400,899/600,839/214

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 978,899,839

Least Common Multiple of Numerators i.e. LCM of 978,899,839 is 737667258.

GCF of Denominators means GCF of 400,600,214 as per the given fractions.

GCF of 400,600,214 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 978,899,839

LCM of Fractions 978/400,899/600,839/214 is 368833629

Given numbers has no common factors except 1. So, there LCM is their product i.e 737667258

Least Common Multiple of 978,899,839 with GCF Formula

Least Common Multiple of 978,899,839 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 978,899,839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(978,899,839) = 1

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

GCF(978,899,839) x common factors =1 x 1 = 1

LCM(978,899,839) = ( 978 × 899 × 839 ) / 1

LCM(978,899,839) = 737667258 / 1

LCM(978,899,839) = 737667258


Lets's calculate GCF of 400,600,214

2 400, 600, 214
200, 300, 107

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 737667258/2

Therefore the LCM of Fractions 978/400,899/600,839/214 is 368833629

Greatest Common Factor of 400,600,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 400,600,214 By Matching Biggest Common Factor Method

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 600

List of positive integer factors of 600 that divides 600 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,25,30,40,50,60,75,100,120,150,200,300,600

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 400,600,214 . The biggest common factor number is the GCF number.
So the greatest common factor 400,600,214 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 978/400, 899/600, 839/214

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 978/400, 899/600, 839/214?

Answer: LCM of Numerators as per given numbers 978/400, 899/600, 839/214 is

LCM of Numerators i.e. for 978,899,839 is 737667258

GCF of denominators i.e. for 400,600,214 is 2.

Thus, LCM of Fractions is 368833629.Finally, LCM of Fractions for 978/400, 899/600, 839/214 is 368833629.