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 750, 945, 56 i.e. 189000 smallest integer divisible by all numbers.
Least common multiple (LCM) of 750, 945, 56 is 189000.
LCM(750, 945, 56) = 189000
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 750, 945, 56 |
3 | 375, 945, 28 |
5 | 125, 315, 28 |
7 | 25, 63, 28 |
25, 9, 4 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 25 x 9 x 4 = 189000
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 750,945,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,945,56) = 1
common factors(in case of two or more numbers have common factors) = 210
GCF(750,945,56) x common factors =1 x 210 = 210
LCM(750,945,56) = ( 750 × 945 × 56 ) / 210
LCM(750,945,56) = 39690000 / 210
LCM(750,945,56) = 189000
∴ Least Common Multiple of 750,945,56 is 189000
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 750, 945, 56?
Answer: LCM of 750, 945, 56 is 189000.
2. What are the Factors of 189000?
Answer: Factors of 189000 are . There are integers that are factors of 189000
3. How to Find the LCM of 750, 945, 56 ?
Least Common Multiple of 750, 945, 56.
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(750, 945, 56) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 5 x 5 x 7 = 189000.