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 306, 819, 854, 720, 964 i.e. 16374561840 smallest integer divisible by all numbers.
Least common multiple (LCM) of 306, 819, 854, 720, 964 is 16374561840.
LCM(306, 819, 854, 720, 964) = 16374561840
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 306, 819, 854, 720, 964 |
2 | 153, 819, 427, 360, 482 |
3 | 153, 819, 427, 180, 241 |
3 | 51, 273, 427, 60, 241 |
7 | 17, 91, 427, 20, 241 |
17, 13, 61, 20, 241 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 7 x 17 x 13 x 61 x 20 x 241 = 16374561840
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 306,819,854,720,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(306,819,854,720,964) = 1
common factors(in case of two or more numbers have common factors) = 9072
GCF(306,819,854,720,964) x common factors =1 x 9072 = 9072
LCM(306,819,854,720,964) = ( 306 × 819 × 854 × 720 × 964 ) / 9072
LCM(306,819,854,720,964) = 148550025012480 / 9072
LCM(306,819,854,720,964) = 16374561840
∴ Least Common Multiple of 306,819,854,720,964 is 16374561840
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 306, 819, 854, 720, 964?
Answer: LCM of 306, 819, 854, 720, 964 is 16374561840.
2. What are the Factors of 16374561840?
Answer: Factors of 16374561840 are . There are integers that are factors of 16374561840
3. How to Find the LCM of 306, 819, 854, 720, 964 ?
Least Common Multiple of 306, 819, 854, 720, 964.
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(306, 819, 854, 720, 964) = 2 x 2 x 2 x 2 x 3 x 3 x 5 x 7 x 13 x 17 x 61 x 241 = 16374561840.