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 385, 909, 310, 357 i.e. 368863110 smallest integer divisible by all numbers.
Least common multiple (LCM) of 385, 909, 310, 357 is 368863110.
LCM(385, 909, 310, 357) = 368863110
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 385, 909, 310, 357 |
5 | 385, 303, 310, 119 |
7 | 77, 303, 62, 119 |
11, 303, 62, 17 |
∴ So the LCM of the given numbers is 3 x 5 x 7 x 11 x 303 x 62 x 17 = 368863110
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 385,909,310,357 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(385,909,310,357) = 1
common factors(in case of two or more numbers have common factors) = 105
GCF(385,909,310,357) x common factors =1 x 105 = 105
LCM(385,909,310,357) = ( 385 × 909 × 310 × 357 ) / 105
LCM(385,909,310,357) = 38730626550 / 105
LCM(385,909,310,357) = 368863110
∴ Least Common Multiple of 385,909,310,357 is 368863110
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 385, 909, 310, 357?
Answer: LCM of 385, 909, 310, 357 is 368863110.
2. What are the Factors of 368863110?
Answer: Factors of 368863110 are . There are integers that are factors of 368863110
3. How to Find the LCM of 385, 909, 310, 357 ?
Least Common Multiple of 385, 909, 310, 357.
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(385, 909, 310, 357) = 2 x 3 x 3 x 5 x 7 x 11 x 17 x 31 x 101 = 368863110.