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 492, 1395 i.e. 228780 smallest integer divisible by all numbers.
Least common multiple (LCM) of 492, 1395 is 228780.
LCM(492, 1395) = 228780
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 492, 1395 |
164, 465 |
∴ So the LCM of the given numbers is 3 x 164 x 465 = 228780
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 492,1395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,1395) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(492,1395) x common factors =3 x 1 = 3
LCM(492,1395) = ( 492 × 1395 ) / 3
LCM(492,1395) = 686340 / 3
LCM(492,1395) = 228780
∴ Least Common Multiple of 492,1395 is 228780
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 492, 1395?
Answer: LCM of 492, 1395 is 228780.
2. What are the Factors of 228780?
Answer: Factors of 228780 are . There are integers that are factors of 228780
3. How to Find the LCM of 492, 1395 ?
Least Common Multiple of 492, 1395.
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(492, 1395) = 2 x 2 x 3 x 3 x 5 x 31 x 41 = 228780.