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 296, 345, 303, 690, 430 i.e. 443507160 smallest integer divisible by all numbers.
Least common multiple (LCM) of 296, 345, 303, 690, 430 is 443507160.
LCM(296, 345, 303, 690, 430) = 443507160
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 296, 345, 303, 690, 430 |
3 | 148, 345, 303, 345, 215 |
5 | 148, 115, 101, 115, 215 |
23 | 148, 23, 101, 23, 43 |
148, 1, 101, 1, 43 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 23 x 148 x 1 x 101 x 1 x 43 = 443507160
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 296,345,303,690,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,345,303,690,430) = 1
common factors(in case of two or more numbers have common factors) = 20700
GCF(296,345,303,690,430) x common factors =1 x 20700 = 20700
LCM(296,345,303,690,430) = ( 296 × 345 × 303 × 690 × 430 ) / 20700
LCM(296,345,303,690,430) = 9180598212000 / 20700
LCM(296,345,303,690,430) = 443507160
∴ Least Common Multiple of 296,345,303,690,430 is 443507160
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 296, 345, 303, 690, 430?
Answer: LCM of 296, 345, 303, 690, 430 is 443507160.
2. What are the Factors of 443507160?
Answer: Factors of 443507160 are . There are integers that are factors of 443507160
3. How to Find the LCM of 296, 345, 303, 690, 430 ?
Least Common Multiple of 296, 345, 303, 690, 430.
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(296, 345, 303, 690, 430) = 2 x 2 x 2 x 3 x 5 x 23 x 37 x 43 x 101 = 443507160.