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 28, 34, 624 i.e. 74256 smallest integer divisible by all numbers.
Least common multiple (LCM) of 28, 34, 624 is 74256.
LCM(28, 34, 624) = 74256
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 28, 34, 624 |
2 | 14, 17, 312 |
7, 17, 156 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 17 x 156 = 74256
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 28,34,624 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(28,34,624) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(28,34,624) x common factors =2 x 4 = 8
LCM(28,34,624) = ( 28 × 34 × 624 ) / 8
LCM(28,34,624) = 594048 / 8
LCM(28,34,624) = 74256
∴ Least Common Multiple of 28,34,624 is 74256
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 28, 34, 624?
Answer: LCM of 28, 34, 624 is 74256.
2. What are the Factors of 74256?
Answer: Factors of 74256 are . There are integers that are factors of 74256
3. How to Find the LCM of 28, 34, 624 ?
Least Common Multiple of 28, 34, 624.
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(28, 34, 624) = 2 x 2 x 2 x 2 x 3 x 7 x 13 x 17 = 74256.