LCM of 350, 280, 345, 595, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 350, 280, 345, 595, 987 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 350, 280, 345, 595, 987. So, keep reading to learn more.
Given numbers are 350,280,345,595,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 350,280,345,595,987 is 77183400.
Find LCM of 350,280,345,595,987 with Prime Factorization
| 2 | 350, 280, 345, 595, 987 |
| 3 | 175, 140, 345, 595, 987 |
| 5 | 175, 140, 115, 595, 329 |
| 7 | 35, 28, 23, 119, 329 |
| 5, 4, 23, 17, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 5 x 4 x 23 x 17 x 47 = 77183400
Therefore, the lowest common multiple of 350,280,345,595,987 is 77183400.
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.
350 x 280 x 345 x 595 x 987 = 19855429650000
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.
350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
345 : 1, 3, 5, 15, 23, 69, 115, 345
595 : 1, 5, 7, 17, 35, 85, 119, 595
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 350,280,345,595,987, is 1.
Now, the common factors can be found like this.
350:2x 5x 5x 7
280:2x 2x 2x 5x 7
345:3x 5x 23
595:5x 7x 17
987:3x 7x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 5x 7x 7x 7 = 257250
Therefore, the value for common factors is 257250.
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 = 19855429650000/(1x257250)
LCM = 19855429650000/257250
LCM = 77183400
Thus, we can understand that the LCM of 350,280,345,595,987 is 77183400.
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FAQs on LCM of 350, 280, 345, 595, 987
1. What is the LCM of 350, 280, 345, 595, 987?
Answer: LCM of 350, 280, 345, 595, 987 is 77183400.
2. How to calculate the LCM of 350, 280, 345, 595, 987?
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 350, 280, 345, 595, 987.
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}.