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 106, 814, 322, 152, 371 i.e. 527885512 smallest integer divisible by all numbers.
Least common multiple (LCM) of 106, 814, 322, 152, 371 is 527885512.
LCM(106, 814, 322, 152, 371) = 527885512
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 106, 814, 322, 152, 371 |
7 | 53, 407, 161, 76, 371 |
53 | 53, 407, 23, 76, 53 |
1, 407, 23, 76, 1 |
∴ So the LCM of the given numbers is 2 x 7 x 53 x 1 x 407 x 23 x 76 x 1 = 527885512
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 106,814,322,152,371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(106,814,322,152,371) = 1
common factors(in case of two or more numbers have common factors) = 2968
GCF(106,814,322,152,371) x common factors =1 x 2968 = 2968
LCM(106,814,322,152,371) = ( 106 × 814 × 322 × 152 × 371 ) / 2968
LCM(106,814,322,152,371) = 1566764199616 / 2968
LCM(106,814,322,152,371) = 527885512
∴ Least Common Multiple of 106,814,322,152,371 is 527885512
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 106, 814, 322, 152, 371?
Answer: LCM of 106, 814, 322, 152, 371 is 527885512.
2. What are the Factors of 527885512?
Answer: Factors of 527885512 are . There are integers that are factors of 527885512
3. How to Find the LCM of 106, 814, 322, 152, 371 ?
Least Common Multiple of 106, 814, 322, 152, 371.
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(106, 814, 322, 152, 371) = 2 x 2 x 2 x 7 x 11 x 19 x 23 x 37 x 53 = 527885512.