Find the LCM of 515, 312, 594, 550, 699 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 515, 312, 594, 550, 699. So, keep reading to learn more.
Given numbers are 515,312,594,550,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,312,594,550,699 is 18532027800.
Find LCM of 515,312,594,550,699 with Prime Factorization
2 | 515, 312, 594, 550, 699 |
3 | 515, 156, 297, 275, 699 |
5 | 515, 52, 99, 275, 233 |
11 | 103, 52, 99, 55, 233 |
103, 52, 9, 5, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 103 x 52 x 9 x 5 x 233 = 18532027800
Therefore, the lowest common multiple of 515,312,594,550,699 is 18532027800.
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.
515 x 312 x 594 x 550 x 699 = 36693415044000
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.
515 : 1, 5, 103, 515
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,312,594,550,699, is 1.
Now, the common factors can be found like this.
515:5x 103
312:2x 2x 2x 3x 13
594:2x 3x 3x 3x 11
550:2x 5x 5x 11
699:3x 233
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 3x 3x 5x 11 = 1980
Therefore, the value for common factors is 1980.
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 = 36693415044000/(1x1980)
LCM = 36693415044000/1980
LCM = 18532027800
Thus, we can understand that the LCM of 515,312,594,550,699 is 18532027800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 515, 312, 594, 550, 699?
Answer: LCM of 515, 312, 594, 550, 699 is 18532027800.
2. How to calculate the LCM of 515, 312, 594, 550, 699?
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 515, 312, 594, 550, 699.
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}.