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 1416, 9735 i.e. 77880 smallest integer divisible by all numbers.
Least common multiple (LCM) of 1416, 9735 is 77880.
LCM(1416, 9735) = 77880
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 1416, 9735 |
59 | 472, 3245 |
8, 55 |
∴ So the LCM of the given numbers is 3 x 59 x 8 x 55 = 77880
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 1416,9735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1416,9735) = 177
common factors(in case of two or more numbers have common factors) = 1
GCF(1416,9735) x common factors =177 x 1 = 177
LCM(1416,9735) = ( 1416 × 9735 ) / 177
LCM(1416,9735) = 13784760 / 177
LCM(1416,9735) = 77880
∴ Least Common Multiple of 1416,9735 is 77880
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 1416, 9735?
Answer: LCM of 1416, 9735 is 77880.
2. What are the Factors of 77880?
Answer: Factors of 77880 are . There are integers that are factors of 77880
3. How to Find the LCM of 1416, 9735 ?
Least Common Multiple of 1416, 9735.
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(1416, 9735) = 2 x 2 x 2 x 3 x 5 x 11 x 59 = 77880.