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 397, 962, 420, 592, 109 i.e. 34968045840 smallest integer divisible by all numbers.
Least common multiple (LCM) of 397, 962, 420, 592, 109 is 34968045840.
LCM(397, 962, 420, 592, 109) = 34968045840
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 397, 962, 420, 592, 109 |
2 | 397, 481, 210, 296, 109 |
37 | 397, 481, 105, 148, 109 |
397, 13, 105, 4, 109 |
∴ So the LCM of the given numbers is 2 x 2 x 37 x 397 x 13 x 105 x 4 x 109 = 34968045840
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 397,962,420,592,109 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(397,962,420,592,109) = 1
common factors(in case of two or more numbers have common factors) = 296
GCF(397,962,420,592,109) x common factors =1 x 296 = 296
LCM(397,962,420,592,109) = ( 397 × 962 × 420 × 592 × 109 ) / 296
LCM(397,962,420,592,109) = 10350541568640 / 296
LCM(397,962,420,592,109) = 34968045840
∴ Least Common Multiple of 397,962,420,592,109 is 34968045840
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 962, 420, 592, 109?
Answer: LCM of 397, 962, 420, 592, 109 is 34968045840.
2. What are the Factors of 34968045840?
Answer: Factors of 34968045840 are . There are integers that are factors of 34968045840
3. How to Find the LCM of 397, 962, 420, 592, 109 ?
Least Common Multiple of 397, 962, 420, 592, 109.
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(397, 962, 420, 592, 109) = 2 x 2 x 2 x 2 x 3 x 5 x 7 x 13 x 37 x 109 x 397 = 34968045840.