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 658, 810, 200, 170, 745 i.e. 13500383400 smallest integer divisible by all numbers.
Least common multiple (LCM) of 658, 810, 200, 170, 745 is 13500383400.
LCM(658, 810, 200, 170, 745) = 13500383400
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 658, 810, 200, 170, 745 |
5 | 329, 405, 100, 85, 745 |
329, 81, 20, 17, 149 |
∴ So the LCM of the given numbers is 2 x 5 x 329 x 81 x 20 x 17 x 149 = 13500383400
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 658,810,200,170,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(658,810,200,170,745) = 1
common factors(in case of two or more numbers have common factors) = 1000
GCF(658,810,200,170,745) x common factors =1 x 1000 = 1000
LCM(658,810,200,170,745) = ( 658 × 810 × 200 × 170 × 745 ) / 1000
LCM(658,810,200,170,745) = 13500383400000 / 1000
LCM(658,810,200,170,745) = 13500383400
∴ Least Common Multiple of 658,810,200,170,745 is 13500383400
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 658, 810, 200, 170, 745?
Answer: LCM of 658, 810, 200, 170, 745 is 13500383400.
2. What are the Factors of 13500383400?
Answer: Factors of 13500383400 are . There are integers that are factors of 13500383400
3. How to Find the LCM of 658, 810, 200, 170, 745 ?
Least Common Multiple of 658, 810, 200, 170, 745.
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(658, 810, 200, 170, 745) = 2 x 2 x 2 x 3 x 3 x 3 x 3 x 5 x 5 x 7 x 17 x 47 x 149 = 13500383400.