Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 282, 530, 104, 853, 940 i.e. 3314723880 smallest integer divisible by all numbers.
Least common multiple (LCM) of 282, 530, 104, 853, 940 is 3314723880.
LCM(282, 530, 104, 853, 940) = 3314723880
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 282, 530, 104, 853, 940 |
2 | 141, 265, 52, 853, 470 |
5 | 141, 265, 26, 853, 235 |
47 | 141, 53, 26, 853, 47 |
3, 53, 26, 853, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 47 x 3 x 53 x 26 x 853 x 1 = 3314723880
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 282,530,104,853,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,530,104,853,940) = 1
common factors(in case of two or more numbers have common factors) = 3760
GCF(282,530,104,853,940) x common factors =1 x 3760 = 3760
LCM(282,530,104,853,940) = ( 282 × 530 × 104 × 853 × 940 ) / 3760
LCM(282,530,104,853,940) = 12463361788800 / 3760
LCM(282,530,104,853,940) = 3314723880
∴ Least Common Multiple of 282,530,104,853,940 is 3314723880
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 530, 104, 853, 940?
Answer: LCM of 282, 530, 104, 853, 940 is 3314723880.
2. What are the Factors of 3314723880?
Answer: Factors of 3314723880 are . There are integers that are factors of 3314723880
3. How to Find the LCM of 282, 530, 104, 853, 940 ?
Least Common Multiple of 282, 530, 104, 853, 940.
Step 1: Divide all the numbers with common prime numbers having remainder zero.
Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(282, 530, 104, 853, 940) = 2 x 2 x 2 x 3 x 5 x 13 x 47 x 53 x 853 = 3314723880.