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 715, 510, 892, 989, 258 i.e. 32168985420 smallest integer divisible by all numbers.
Least common multiple (LCM) of 715, 510, 892, 989, 258 is 32168985420.
LCM(715, 510, 892, 989, 258) = 32168985420
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 715, 510, 892, 989, 258 |
3 | 715, 255, 446, 989, 129 |
5 | 715, 85, 446, 989, 43 |
43 | 143, 17, 446, 989, 43 |
143, 17, 446, 23, 1 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 43 x 143 x 17 x 446 x 23 x 1 = 32168985420
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 715,510,892,989,258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,510,892,989,258) = 1
common factors(in case of two or more numbers have common factors) = 2580
GCF(715,510,892,989,258) x common factors =1 x 2580 = 2580
LCM(715,510,892,989,258) = ( 715 × 510 × 892 × 989 × 258 ) / 2580
LCM(715,510,892,989,258) = 82995982383600 / 2580
LCM(715,510,892,989,258) = 32168985420
∴ Least Common Multiple of 715,510,892,989,258 is 32168985420
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 715, 510, 892, 989, 258?
Answer: LCM of 715, 510, 892, 989, 258 is 32168985420.
2. What are the Factors of 32168985420?
Answer: Factors of 32168985420 are . There are integers that are factors of 32168985420
3. How to Find the LCM of 715, 510, 892, 989, 258 ?
Least Common Multiple of 715, 510, 892, 989, 258.
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(715, 510, 892, 989, 258) = 2 x 2 x 3 x 5 x 11 x 13 x 17 x 23 x 43 x 223 = 32168985420.