LCM of 515, 540, 669, 621, 117
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 515, 540, 669, 621, 117 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, 540, 669, 621, 117. So, keep reading to learn more.
Given numbers are 515,540,669,621,117
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 515,540,669,621,117 is 3708574740.
Find LCM of 515,540,669,621,117 with Prime Factorization
| 3 | 515, 540, 669, 621, 117 |
| 3 | 515, 180, 223, 207, 39 |
| 3 | 515, 60, 223, 69, 13 |
| 5 | 515, 20, 223, 23, 13 |
| 103, 4, 223, 23, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 5 x 103 x 4 x 223 x 23 x 13 = 3708574740
Therefore, the lowest common multiple of 515,540,669,621,117 is 3708574740.
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 540 x 669 x 621 x 117 = 13517754927300
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
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
669 : 1, 3, 223, 669
621 : 1, 3, 9, 23, 27, 69, 207, 621
117 : 1, 3, 9, 13, 39, 117
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 515,540,669,621,117, is 1.
Now, the common factors can be found like this.
515:5x 103
540:2x 2x 3x 3x 3x 5
669:3x 223
621:3x 3x 3x 23
117:3x 3x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 3x 5 = 3645
Therefore, the value for common factors is 3645.
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 = 13517754927300/(1x3645)
LCM = 13517754927300/3645
LCM = 3708574740
Thus, we can understand that the LCM of 515,540,669,621,117 is 3708574740.
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FAQs on LCM of 515, 540, 669, 621, 117
1. What is the LCM of 515, 540, 669, 621, 117?
Answer: LCM of 515, 540, 669, 621, 117 is 3708574740.
2. How to calculate the LCM of 515, 540, 669, 621, 117?
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, 540, 669, 621, 117.
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}.