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 21, 42, 30, 78 i.e. 2730 smallest integer divisible by all numbers.
Least common multiple (LCM) of 21, 42, 30, 78 is 2730.
LCM(21, 42, 30, 78) = 2730
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 21, 42, 30, 78 |
3 | 21, 21, 15, 39 |
7 | 7, 7, 5, 13 |
1, 1, 5, 13 |
∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 1 x 5 x 13 = 2730
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 21,42,30,78 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,42,30,78) = 3
common factors(in case of two or more numbers have common factors) = 252
GCF(21,42,30,78) x common factors =3 x 252 = 756
LCM(21,42,30,78) = ( 21 × 42 × 30 × 78 ) / 756
LCM(21,42,30,78) = 2063880 / 756
LCM(21,42,30,78) = 2730
∴ Least Common Multiple of 21,42,30,78 is 2730
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 21, 42, 30, 78?
Answer: LCM of 21, 42, 30, 78 is 2730.
2. What are the Factors of 2730?
Answer: Factors of 2730 are . There are integers that are factors of 2730
3. How to Find the LCM of 21, 42, 30, 78 ?
Least Common Multiple of 21, 42, 30, 78.
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(21, 42, 30, 78) = 2 x 3 x 5 x 7 x 13 = 2730.