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 916, 567, 405, 651, 952 i.e. 2737090440 smallest integer divisible by all numbers.
Least common multiple (LCM) of 916, 567, 405, 651, 952 is 2737090440.
LCM(916, 567, 405, 651, 952) = 2737090440
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 916, 567, 405, 651, 952 |
2 | 458, 567, 405, 651, 476 |
3 | 229, 567, 405, 651, 238 |
3 | 229, 189, 135, 217, 238 |
3 | 229, 63, 45, 217, 238 |
3 | 229, 21, 15, 217, 238 |
7 | 229, 7, 5, 217, 238 |
229, 1, 5, 31, 34 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 3 x 3 x 7 x 229 x 1 x 5 x 31 x 34 = 2737090440
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 916,567,405,651,952 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,567,405,651,952) = 1
common factors(in case of two or more numbers have common factors) = 47628
GCF(916,567,405,651,952) x common factors =1 x 47628 = 47628
LCM(916,567,405,651,952) = ( 916 × 567 × 405 × 651 × 952 ) / 47628
LCM(916,567,405,651,952) = 130362143476320 / 47628
LCM(916,567,405,651,952) = 2737090440
∴ Least Common Multiple of 916,567,405,651,952 is 2737090440
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 916, 567, 405, 651, 952?
Answer: LCM of 916, 567, 405, 651, 952 is 2737090440.
2. What are the Factors of 2737090440?
Answer: Factors of 2737090440 are . There are integers that are factors of 2737090440
3. How to Find the LCM of 916, 567, 405, 651, 952 ?
Least Common Multiple of 916, 567, 405, 651, 952.
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(916, 567, 405, 651, 952) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 7 x 17 x 31 x 229 = 2737090440.