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 642, 945, 279, 505, 721 i.e. 65217759390 smallest integer divisible by all numbers.
Least common multiple (LCM) of 642, 945, 279, 505, 721 is 65217759390.
LCM(642, 945, 279, 505, 721) = 65217759390
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
3 | 642, 945, 279, 505, 721 |
3 | 214, 315, 93, 505, 721 |
5 | 214, 105, 31, 505, 721 |
7 | 214, 21, 31, 101, 721 |
214, 3, 31, 101, 103 |
∴ So the LCM of the given numbers is 3 x 3 x 5 x 7 x 214 x 3 x 31 x 101 x 103 = 65217759390
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 642,945,279,505,721 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,945,279,505,721) = 1
common factors(in case of two or more numbers have common factors) = 945
GCF(642,945,279,505,721) x common factors =1 x 945 = 945
LCM(642,945,279,505,721) = ( 642 × 945 × 279 × 505 × 721 ) / 945
LCM(642,945,279,505,721) = 61630782623550 / 945
LCM(642,945,279,505,721) = 65217759390
∴ Least Common Multiple of 642,945,279,505,721 is 65217759390
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 642, 945, 279, 505, 721?
Answer: LCM of 642, 945, 279, 505, 721 is 65217759390.
2. What are the Factors of 65217759390?
Answer: Factors of 65217759390 are . There are integers that are factors of 65217759390
3. How to Find the LCM of 642, 945, 279, 505, 721 ?
Least Common Multiple of 642, 945, 279, 505, 721.
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(642, 945, 279, 505, 721) = 2 x 3 x 3 x 3 x 5 x 7 x 31 x 101 x 103 x 107 = 65217759390.