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 330, 648, 951, 336, 684 i.e. 3005236080 smallest integer divisible by all numbers.
Least common multiple (LCM) of 330, 648, 951, 336, 684 is 3005236080.
LCM(330, 648, 951, 336, 684) = 3005236080
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 330, 648, 951, 336, 684 |
2 | 165, 324, 951, 168, 342 |
2 | 165, 162, 951, 84, 171 |
3 | 165, 81, 951, 42, 171 |
3 | 55, 27, 317, 14, 57 |
55, 9, 317, 14, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 55 x 9 x 317 x 14 x 19 = 3005236080
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 330,648,951,336,684 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(330,648,951,336,684) = 3
common factors(in case of two or more numbers have common factors) = 5184
GCF(330,648,951,336,684) x common factors =3 x 5184 = 15552
LCM(330,648,951,336,684) = ( 330 × 648 × 951 × 336 × 684 ) / 15552
LCM(330,648,951,336,684) = 46737431516160 / 15552
LCM(330,648,951,336,684) = 3005236080
∴ Least Common Multiple of 330,648,951,336,684 is 3005236080
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 330, 648, 951, 336, 684?
Answer: LCM of 330, 648, 951, 336, 684 is 3005236080.
2. What are the Factors of 3005236080?
Answer: Factors of 3005236080 are . There are integers that are factors of 3005236080
3. How to Find the LCM of 330, 648, 951, 336, 684 ?
Least Common Multiple of 330, 648, 951, 336, 684.
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(330, 648, 951, 336, 684) = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 11 x 19 x 317 = 3005236080.