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 945, 250, 100, 159, 231 i.e. 55093500 smallest integer divisible by all numbers.
Least common multiple (LCM) of 945, 250, 100, 159, 231 is 55093500.
LCM(945, 250, 100, 159, 231) = 55093500
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 945, 250, 100, 159, 231 |
3 | 945, 125, 50, 159, 231 |
5 | 315, 125, 50, 53, 77 |
5 | 63, 25, 10, 53, 77 |
7 | 63, 5, 2, 53, 77 |
9, 5, 2, 53, 11 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 7 x 9 x 5 x 2 x 53 x 11 = 55093500
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 945,250,100,159,231 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,250,100,159,231) = 1
common factors(in case of two or more numbers have common factors) = 15750
GCF(945,250,100,159,231) x common factors =1 x 15750 = 15750
LCM(945,250,100,159,231) = ( 945 × 250 × 100 × 159 × 231 ) / 15750
LCM(945,250,100,159,231) = 867722625000 / 15750
LCM(945,250,100,159,231) = 55093500
∴ Least Common Multiple of 945,250,100,159,231 is 55093500
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 945, 250, 100, 159, 231?
Answer: LCM of 945, 250, 100, 159, 231 is 55093500.
2. What are the Factors of 55093500?
Answer: Factors of 55093500 are . There are integers that are factors of 55093500
3. How to Find the LCM of 945, 250, 100, 159, 231 ?
Least Common Multiple of 945, 250, 100, 159, 231.
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(945, 250, 100, 159, 231) = 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 7 x 11 x 53 = 55093500.