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 349, 667, 464, 916, 851 i.e. 31557925744 smallest integer divisible by all numbers.
Least common multiple (LCM) of 349, 667, 464, 916, 851 is 31557925744.
LCM(349, 667, 464, 916, 851) = 31557925744
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 349, 667, 464, 916, 851 |
2 | 349, 667, 232, 458, 851 |
23 | 349, 667, 116, 229, 851 |
29 | 349, 29, 116, 229, 37 |
349, 1, 4, 229, 37 |
∴ So the LCM of the given numbers is 2 x 2 x 23 x 29 x 349 x 1 x 4 x 229 x 37 = 31557925744
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 349,667,464,916,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,667,464,916,851) = 1
common factors(in case of two or more numbers have common factors) = 2668
GCF(349,667,464,916,851) x common factors =1 x 2668 = 2668
LCM(349,667,464,916,851) = ( 349 × 667 × 464 × 916 × 851 ) / 2668
LCM(349,667,464,916,851) = 84196545884992 / 2668
LCM(349,667,464,916,851) = 31557925744
∴ Least Common Multiple of 349,667,464,916,851 is 31557925744
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 349, 667, 464, 916, 851?
Answer: LCM of 349, 667, 464, 916, 851 is 31557925744.
2. What are the Factors of 31557925744?
Answer: Factors of 31557925744 are . There are integers that are factors of 31557925744
3. How to Find the LCM of 349, 667, 464, 916, 851 ?
Least Common Multiple of 349, 667, 464, 916, 851.
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(349, 667, 464, 916, 851) = 2 x 2 x 2 x 2 x 23 x 29 x 37 x 229 x 349 = 31557925744.