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 704, 440, 992 i.e. 109120 smallest integer divisible by all numbers.
Least common multiple (LCM) of 704, 440, 992 is 109120.
LCM(704, 440, 992) = 109120
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 704, 440, 992 |
2 | 352, 220, 496 |
2 | 176, 110, 248 |
2 | 88, 55, 124 |
2 | 44, 55, 62 |
11 | 22, 55, 31 |
2, 5, 31 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 11 x 2 x 5 x 31 = 109120
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 704,440,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(704,440,992) = 8
common factors(in case of two or more numbers have common factors) = 352
GCF(704,440,992) x common factors =8 x 352 = 2816
LCM(704,440,992) = ( 704 × 440 × 992 ) / 2816
LCM(704,440,992) = 307281920 / 2816
LCM(704,440,992) = 109120
∴ Least Common Multiple of 704,440,992 is 109120
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 704, 440, 992?
Answer: LCM of 704, 440, 992 is 109120.
2. What are the Factors of 109120?
Answer: Factors of 109120 are . There are integers that are factors of 109120
3. How to Find the LCM of 704, 440, 992 ?
Least Common Multiple of 704, 440, 992.
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(704, 440, 992) = 2 x 2 x 2 x 2 x 2 x 2 x 5 x 11 x 31 = 109120.