LCM of 442, 314, 150, 590
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 442, 314, 150, 590 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 442, 314, 150, 590. So, keep reading to learn more.
Given numbers are 442,314,150,590
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 442,314,150,590 is 307068450.
Find LCM of 442,314,150,590 with Prime Factorization
| 2 | 442, 314, 150, 590 |
| 5 | 221, 157, 75, 295 |
| 221, 157, 15, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 221 x 157 x 15 x 59 = 307068450
Therefore, the lowest common multiple of 442,314,150,590 is 307068450.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
442 x 314 x 150 x 590 = 12282738000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
442 : 1, 2, 13, 17, 26, 34, 221, 442
314 : 1, 2, 157, 314
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
590 : 1, 2, 5, 10, 59, 118, 295, 590
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 442,314,150,590, is 2.
Now, the common factors can be found like this.
442:2x 13x 17
314:2x 157
150:2x 3x 5x 5
590:2x 5x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5 = 20
Therefore, the value for common factors is 20.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 12282738000/(2x20)
LCM = 12282738000/40
LCM = 307068450
Thus, we can understand that the LCM of 442,314,150,590 is 307068450.
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FAQs on LCM of 442, 314, 150, 590
1. What is the LCM of 442, 314, 150, 590?
Answer: LCM of 442, 314, 150, 590 is 307068450.
2. How to calculate the LCM of 442, 314, 150, 590?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 442, 314, 150, 590.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.