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 319, 359, 660 i.e. 6871260 smallest integer divisible by all numbers.
Least common multiple (LCM) of 319, 359, 660 is 6871260.
LCM(319, 359, 660) = 6871260
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
11 | 319, 359, 660 |
29, 359, 60 |
∴ So the LCM of the given numbers is 11 x 29 x 359 x 60 = 6871260
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 319,359,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(319,359,660) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(319,359,660) x common factors =1 x 11 = 11
LCM(319,359,660) = ( 319 × 359 × 660 ) / 11
LCM(319,359,660) = 75583860 / 11
LCM(319,359,660) = 6871260
∴ Least Common Multiple of 319,359,660 is 6871260
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 359, 660?
Answer: LCM of 319, 359, 660 is 6871260.
2. What are the Factors of 6871260?
Answer: Factors of 6871260 are . There are integers that are factors of 6871260
3. How to Find the LCM of 319, 359, 660 ?
Least Common Multiple of 319, 359, 660.
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(319, 359, 660) = 2 x 2 x 3 x 5 x 11 x 29 x 359 = 6871260.