Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 81/398, 22/249, 280/852 quickly i.e. 249480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 81/398, 22/249, 280/852 is 249480.
LCM(81/398, 22/249, 280/852) = 249480
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 81/398,22/249,280/852
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 81,22,280
Least Common Multiple of Numerators i.e. LCM of 81,22,280 is 249480.
GCF of Denominators means GCF of 398,249,852 as per the given fractions.
GCF of 398,249,852 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 81,22,280
2 | 81, 22, 280 |
81, 11, 140 |
∴ So the LCM of the given numbers is 2 x 81 x 11 x 140 = 249480
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 81,22,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(81,22,280) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(81,22,280) x common factors =1 x 2 = 2
LCM(81,22,280) = ( 81 × 22 × 280 ) / 2
LCM(81,22,280) = 498960 / 2
LCM(81,22,280) = 249480
Lets's calculate GCF of 398,249,852
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 249480/1
Therefore the LCM of Fractions 81/398,22/249,280/852 is 249480
Factors of 398
List of positive integer factors of 398 that divides 398 without a remainder.
1,2,199,398
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 852
List of positive integer factors of 852 that divides 852 without a remainder.
1,2,3,4,6,12,71,142,213,284,426,852
Greatest Common Factor
We found the factors 398,249,852 . The biggest common factor number is the GCF number.
So the greatest common factor 398,249,852 is 1.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
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 81/398, 22/249, 280/852?
Answer: LCM of Numerators as per given numbers 81/398, 22/249, 280/852 is
LCM of Numerators i.e. for 81,22,280 is 249480
GCF of denominators i.e. for 398,249,852 is 1.
Thus, LCM of Fractions is 249480.Finally, LCM of Fractions for 81/398, 22/249, 280/852 is 249480.