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 986, 900, 969 i.e. 8430300 smallest integer divisible by all numbers.
Least common multiple (LCM) of 986, 900, 969 is 8430300.
LCM(986, 900, 969) = 8430300
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 986, 900, 969 |
3 | 493, 450, 969 |
17 | 493, 150, 323 |
29, 150, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 29 x 150 x 19 = 8430300
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 986,900,969 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,900,969) = 1
common factors(in case of two or more numbers have common factors) = 102
GCF(986,900,969) x common factors =1 x 102 = 102
LCM(986,900,969) = ( 986 × 900 × 969 ) / 102
LCM(986,900,969) = 859890600 / 102
LCM(986,900,969) = 8430300
∴ Least Common Multiple of 986,900,969 is 8430300
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 986, 900, 969?
Answer: LCM of 986, 900, 969 is 8430300.
2. What are the Factors of 8430300?
Answer: Factors of 8430300 are . There are integers that are factors of 8430300
3. How to Find the LCM of 986, 900, 969 ?
Least Common Multiple of 986, 900, 969.
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(986, 900, 969) = 2 x 2 x 3 x 3 x 5 x 5 x 17 x 19 x 29 = 8430300.