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 12, 49, 786 i.e. 77028 smallest integer divisible by all numbers.
Least common multiple (LCM) of 12, 49, 786 is 77028.
LCM(12, 49, 786) = 77028
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 12, 49, 786 |
3 | 6, 49, 393 |
2, 49, 131 |
∴ So the LCM of the given numbers is 2 x 3 x 2 x 49 x 131 = 77028
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 12,49,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,49,786) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(12,49,786) x common factors =1 x 6 = 6
LCM(12,49,786) = ( 12 × 49 × 786 ) / 6
LCM(12,49,786) = 462168 / 6
LCM(12,49,786) = 77028
∴ Least Common Multiple of 12,49,786 is 77028
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 12, 49, 786?
Answer: LCM of 12, 49, 786 is 77028.
2. What are the Factors of 77028?
Answer: Factors of 77028 are . There are integers that are factors of 77028
3. How to Find the LCM of 12, 49, 786 ?
Least Common Multiple of 12, 49, 786.
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(12, 49, 786) = 2 x 2 x 3 x 7 x 7 x 131 = 77028.