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 3438, 9960 i.e. 5707080 smallest integer divisible by all numbers.
Least common multiple (LCM) of 3438, 9960 is 5707080.
LCM(3438, 9960) = 5707080
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 3438, 9960 |
3 | 1719, 4980 |
573, 1660 |
∴ So the LCM of the given numbers is 2 x 3 x 573 x 1660 = 5707080
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 3438,9960 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3438,9960) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(3438,9960) x common factors =6 x 1 = 6
LCM(3438,9960) = ( 3438 × 9960 ) / 6
LCM(3438,9960) = 34242480 / 6
LCM(3438,9960) = 5707080
∴ Least Common Multiple of 3438,9960 is 5707080
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 3438, 9960?
Answer: LCM of 3438, 9960 is 5707080.
2. What are the Factors of 5707080?
Answer: Factors of 5707080 are . There are integers that are factors of 5707080
3. How to Find the LCM of 3438, 9960 ?
Least Common Multiple of 3438, 9960.
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(3438, 9960) = 2 x 2 x 2 x 3 x 3 x 5 x 83 x 191 = 5707080.