Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 650/549, 332/435, 540/371 quickly i.e. 2913300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 650/549, 332/435, 540/371 is 2913300.
LCM(650/549, 332/435, 540/371) = 2913300
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 650/549,332/435,540/371
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 650,332,540
Least Common Multiple of Numerators i.e. LCM of 650,332,540 is 2913300.
GCF of Denominators means GCF of 549,435,371 as per the given fractions.
GCF of 549,435,371 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 650,332,540
2 | 650, 332, 540 |
2 | 325, 166, 270 |
5 | 325, 83, 135 |
65, 83, 27 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 65 x 83 x 27 = 2913300
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 650,332,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(650,332,540) = 2
common factors(in case of two or more numbers have common factors) = 20
GCF(650,332,540) x common factors =2 x 20 = 40
LCM(650,332,540) = ( 650 × 332 × 540 ) / 40
LCM(650,332,540) = 116532000 / 40
LCM(650,332,540) = 2913300
Lets's calculate GCF of 549,435,371
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2913300/1
Therefore the LCM of Fractions 650/549,332/435,540/371 is 2913300
Factors of 549
List of positive integer factors of 549 that divides 549 without a remainder.
1,3,9,61,183,549
Factors of 435
List of positive integer factors of 435 that divides 435 without a remainder.
1,3,5,15,29,87,145,435
Factors of 371
List of positive integer factors of 371 that divides 371 without a remainder.
1,7,53,371
Greatest Common Factor
We found the factors 549,435,371 . The biggest common factor number is the GCF number.
So the greatest common factor 549,435,371 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 650/549, 332/435, 540/371?
Answer: LCM of Numerators as per given numbers 650/549, 332/435, 540/371 is
LCM of Numerators i.e. for 650,332,540 is 2913300
GCF of denominators i.e. for 549,435,371 is 1.
Thus, LCM of Fractions is 2913300.Finally, LCM of Fractions for 650/549, 332/435, 540/371 is 2913300.