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, 214, 882, 220, 968 i.e. 10734098760 smallest integer divisible by all numbers.
Least common multiple (LCM) of 282, 214, 882, 220, 968 is 10734098760.
LCM(282, 214, 882, 220, 968) = 10734098760
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 282, 214, 882, 220, 968 |
2 | 141, 107, 441, 110, 484 |
3 | 141, 107, 441, 55, 242 |
11 | 47, 107, 147, 55, 242 |
47, 107, 147, 5, 22 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 47 x 107 x 147 x 5 x 22 = 10734098760
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 282,214,882,220,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(282,214,882,220,968) = 2
common factors(in case of two or more numbers have common factors) = 528
GCF(282,214,882,220,968) x common factors =2 x 528 = 1056
LCM(282,214,882,220,968) = ( 282 × 214 × 882 × 220 × 968 ) / 1056
LCM(282,214,882,220,968) = 11335208290560 / 1056
LCM(282,214,882,220,968) = 10734098760
∴ Least Common Multiple of 282,214,882,220,968 is 10734098760
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 282, 214, 882, 220, 968?
Answer: LCM of 282, 214, 882, 220, 968 is 10734098760.
2. What are the Factors of 10734098760?
Answer: Factors of 10734098760 are . There are integers that are factors of 10734098760
3. How to Find the LCM of 282, 214, 882, 220, 968 ?
Least Common Multiple of 282, 214, 882, 220, 968.
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, 214, 882, 220, 968) = 2 x 2 x 2 x 3 x 3 x 5 x 7 x 7 x 11 x 11 x 47 x 107 = 10734098760.