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 716, 900, 342 i.e. 3060900 smallest integer divisible by all numbers.
Least common multiple (LCM) of 716, 900, 342 is 3060900.
LCM(716, 900, 342) = 3060900
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 716, 900, 342 |
2 | 358, 450, 171 |
3 | 179, 225, 171 |
3 | 179, 75, 57 |
179, 25, 19 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 179 x 25 x 19 = 3060900
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 716,900,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(716,900,342) = 2
common factors(in case of two or more numbers have common factors) = 36
GCF(716,900,342) x common factors =2 x 36 = 72
LCM(716,900,342) = ( 716 × 900 × 342 ) / 72
LCM(716,900,342) = 220384800 / 72
LCM(716,900,342) = 3060900
∴ Least Common Multiple of 716,900,342 is 3060900
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 716, 900, 342?
Answer: LCM of 716, 900, 342 is 3060900.
2. What are the Factors of 3060900?
Answer: Factors of 3060900 are . There are integers that are factors of 3060900
3. How to Find the LCM of 716, 900, 342 ?
Least Common Multiple of 716, 900, 342.
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(716, 900, 342) = 2 x 2 x 3 x 3 x 5 x 5 x 19 x 179 = 3060900.