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 978, 996, 996 i.e. 162348 smallest integer divisible by all numbers.
Least common multiple (LCM) of 978, 996, 996 is 162348.
LCM(978, 996, 996) = 162348
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 978, 996, 996 |
2 | 489, 498, 498 |
3 | 489, 249, 249 |
83 | 163, 83, 83 |
163, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 83 x 163 x 1 x 1 = 162348
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 978,996,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,996,996) = 6
common factors(in case of two or more numbers have common factors) = 996
GCF(978,996,996) x common factors =6 x 996 = 5976
LCM(978,996,996) = ( 978 × 996 × 996 ) / 5976
LCM(978,996,996) = 970191648 / 5976
LCM(978,996,996) = 162348
∴ Least Common Multiple of 978,996,996 is 162348
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 978, 996, 996?
Answer: LCM of 978, 996, 996 is 162348.
2. What are the Factors of 162348?
Answer: Factors of 162348 are . There are integers that are factors of 162348
3. How to Find the LCM of 978, 996, 996 ?
Least Common Multiple of 978, 996, 996.
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(978, 996, 996) = 2 x 2 x 3 x 83 x 163 = 162348.