Least Common Multiple of 9836/219, 5972/400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9836/219, 5972/400 quickly i.e. 14685148 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9836/219, 5972/400 is 14685148.

LCM(9836/219, 5972/400) = 14685148

LCM of 9836/219, 5972/400

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 9836/219,5972/400

Given numbers are 9836/219,5972/400

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 9836,5972

Least Common Multiple of Numerators i.e. LCM of 9836,5972 is 14685148.

GCF of Denominators means GCF of 219,400 as per the given fractions.

GCF of 219,400 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9836,5972

LCM of Fractions 9836/219,5972/400 is 14685148

2 9836, 5972
2 4918, 2986
2459, 1493

∴ So the LCM of the given numbers is 2 x 2 x 2459 x 1493 = 14685148

Least Common Multiple of 9836,5972 with GCF Formula

Least Common Multiple of 9836,5972 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 9836,5972 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9836,5972) = 4

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

GCF(9836,5972) x common factors =4 x 1 = 4

LCM(9836,5972) = ( 9836 × 5972 ) / 4

LCM(9836,5972) = 58740592 / 4

LCM(9836,5972) = 14685148


Lets's calculate GCF of 219,400

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14685148/1

Therefore the LCM of Fractions 9836/219,5972/400 is 14685148

Greatest Common Factor of 219,400 By Matching Biggest Common Factor Method

Greatest Common Factor of 219,400 By Matching Biggest Common Factor Method

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

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

Greatest Common Factor

We found the factors 219,400 . The biggest common factor number is the GCF number.
So the greatest common factor 219,400 is 1.


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 9836/219, 5972/400

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 9836/219, 5972/400?

Answer: LCM of Numerators as per given numbers 9836/219, 5972/400 is

LCM of Numerators i.e. for 9836,5972 is 14685148

GCF of denominators i.e. for 219,400 is 1.

Thus, LCM of Fractions is 14685148.Finally, LCM of Fractions for 9836/219, 5972/400 is 14685148.