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 441, 380, 414, 548, 999 i.e. 58612948380 smallest integer divisible by all numbers.
Least common multiple (LCM) of 441, 380, 414, 548, 999 is 58612948380.
LCM(441, 380, 414, 548, 999) = 58612948380
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 441, 380, 414, 548, 999 |
2 | 441, 190, 207, 274, 999 |
3 | 441, 95, 207, 137, 999 |
3 | 147, 95, 69, 137, 333 |
49, 95, 23, 137, 111 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 49 x 95 x 23 x 137 x 111 = 58612948380
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 441,380,414,548,999 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(441,380,414,548,999) = 1
common factors(in case of two or more numbers have common factors) = 648
GCF(441,380,414,548,999) x common factors =1 x 648 = 648
LCM(441,380,414,548,999) = ( 441 × 380 × 414 × 548 × 999 ) / 648
LCM(441,380,414,548,999) = 37981190550240 / 648
LCM(441,380,414,548,999) = 58612948380
∴ Least Common Multiple of 441,380,414,548,999 is 58612948380
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 441, 380, 414, 548, 999?
Answer: LCM of 441, 380, 414, 548, 999 is 58612948380.
2. What are the Factors of 58612948380?
Answer: Factors of 58612948380 are . There are integers that are factors of 58612948380
3. How to Find the LCM of 441, 380, 414, 548, 999 ?
Least Common Multiple of 441, 380, 414, 548, 999.
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(441, 380, 414, 548, 999) = 2 x 2 x 3 x 3 x 3 x 5 x 7 x 7 x 19 x 23 x 37 x 137 = 58612948380.