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 51, 56, 890, 170 i.e. 1270920 smallest integer divisible by all numbers.
Least common multiple (LCM) of 51, 56, 890, 170 is 1270920.
LCM(51, 56, 890, 170) = 1270920
Least common multiple or lowest common denominator (lcd) can be calculated in three ways
2 | 51, 56, 890, 170 |
5 | 51, 28, 445, 85 |
17 | 51, 28, 89, 17 |
3, 28, 89, 1 |
∴ So the LCM of the given numbers is 2 x 5 x 17 x 3 x 28 x 89 x 1 = 1270920
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 51,56,890,170 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(51,56,890,170) = 1
common factors(in case of two or more numbers have common factors) = 340
GCF(51,56,890,170) x common factors =1 x 340 = 340
LCM(51,56,890,170) = ( 51 × 56 × 890 × 170 ) / 340
LCM(51,56,890,170) = 432112800 / 340
LCM(51,56,890,170) = 1270920
∴ Least Common Multiple of 51,56,890,170 is 1270920
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 51, 56, 890, 170?
Answer: LCM of 51, 56, 890, 170 is 1270920.
2. What are the Factors of 1270920?
Answer: Factors of 1270920 are . There are integers that are factors of 1270920
3. How to Find the LCM of 51, 56, 890, 170 ?
Least Common Multiple of 51, 56, 890, 170.
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(51, 56, 890, 170) = 2 x 2 x 2 x 3 x 5 x 7 x 17 x 89 = 1270920.