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 310, 790, 753, 460, 460 i.e. 848284620 smallest integer divisible by all numbers.
Least common multiple (LCM) of 310, 790, 753, 460, 460 is 848284620.
LCM(310, 790, 753, 460, 460) = 848284620
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 310, 790, 753, 460, 460 |
2 | 155, 395, 753, 230, 230 |
5 | 155, 395, 753, 115, 115 |
23 | 31, 79, 753, 23, 23 |
31, 79, 753, 1, 1 |
∴ So the LCM of the given numbers is 2 x 2 x 5 x 23 x 31 x 79 x 753 x 1 x 1 = 848284620
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 310,790,753,460,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(310,790,753,460,460) = 1
common factors(in case of two or more numbers have common factors) = 46000
GCF(310,790,753,460,460) x common factors =1 x 46000 = 46000
LCM(310,790,753,460,460) = ( 310 × 790 × 753 × 460 × 460 ) / 46000
LCM(310,790,753,460,460) = 39021092520000 / 46000
LCM(310,790,753,460,460) = 848284620
∴ Least Common Multiple of 310,790,753,460,460 is 848284620
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 790, 753, 460, 460?
Answer: LCM of 310, 790, 753, 460, 460 is 848284620.
2. What are the Factors of 848284620?
Answer: Factors of 848284620 are . There are integers that are factors of 848284620
3. How to Find the LCM of 310, 790, 753, 460, 460 ?
Least Common Multiple of 310, 790, 753, 460, 460.
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(310, 790, 753, 460, 460) = 2 x 2 x 3 x 5 x 23 x 31 x 79 x 251 = 848284620.