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 754, 8671 i.e. 17342 smallest integer divisible by all numbers.
Least common multiple (LCM) of 754, 8671 is 17342.
LCM(754, 8671) = 17342
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
13 | 754, 8671 |
29 | 58, 667 |
2, 23 |
∴ So the LCM of the given numbers is 13 x 29 x 2 x 23 = 17342
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 754,8671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,8671) = 377
common factors(in case of two or more numbers have common factors) = 1
GCF(754,8671) x common factors =377 x 1 = 377
LCM(754,8671) = ( 754 × 8671 ) / 377
LCM(754,8671) = 6537934 / 377
LCM(754,8671) = 17342
∴ Least Common Multiple of 754,8671 is 17342
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 754, 8671?
Answer: LCM of 754, 8671 is 17342.
2. What are the Factors of 17342?
Answer: Factors of 17342 are . There are integers that are factors of 17342
3. How to Find the LCM of 754, 8671 ?
Least Common Multiple of 754, 8671.
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(754, 8671) = 2 x 13 x 23 x 29 = 17342.