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 289, 799, 871, 301, 374 i.e. 78343511246 smallest integer divisible by all numbers.
Least common multiple (LCM) of 289, 799, 871, 301, 374 is 78343511246.
LCM(289, 799, 871, 301, 374) = 78343511246
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
17 | 289, 799, 871, 301, 374 |
17, 47, 871, 301, 22 |
∴ So the LCM of the given numbers is 17 x 17 x 47 x 871 x 301 x 22 = 78343511246
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 289,799,871,301,374 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(289,799,871,301,374) = 1
common factors(in case of two or more numbers have common factors) = 289
GCF(289,799,871,301,374) x common factors =1 x 289 = 289
LCM(289,799,871,301,374) = ( 289 × 799 × 871 × 301 × 374 ) / 289
LCM(289,799,871,301,374) = 22641274750094 / 289
LCM(289,799,871,301,374) = 78343511246
∴ Least Common Multiple of 289,799,871,301,374 is 78343511246
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 289, 799, 871, 301, 374?
Answer: LCM of 289, 799, 871, 301, 374 is 78343511246.
2. What are the Factors of 78343511246?
Answer: Factors of 78343511246 are . There are integers that are factors of 78343511246
3. How to Find the LCM of 289, 799, 871, 301, 374 ?
Least Common Multiple of 289, 799, 871, 301, 374.
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(289, 799, 871, 301, 374) = 2 x 7 x 11 x 13 x 17 x 17 x 43 x 47 x 67 = 78343511246.