LCM of 540, 742, 315, 686, 717
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 742, 315, 686, 717 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 540, 742, 315, 686, 717. So, keep reading to learn more.
Given numbers are 540,742,315,686,717
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,742,315,686,717 is 2346181740.
Find LCM of 540,742,315,686,717 with Prime Factorization
| 2 | 540, 742, 315, 686, 717 |
| 3 | 270, 371, 315, 343, 717 |
| 3 | 90, 371, 105, 343, 239 |
| 5 | 30, 371, 35, 343, 239 |
| 7 | 6, 371, 7, 343, 239 |
| 6, 53, 1, 49, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 6 x 53 x 1 x 49 x 239 = 2346181740
Therefore, the lowest common multiple of 540,742,315,686,717 is 2346181740.
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.
540 x 742 x 315 x 686 x 717 = 62079968840400
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.
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
742 : 1, 2, 7, 14, 53, 106, 371, 742
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
686 : 1, 2, 7, 14, 49, 98, 343, 686
717 : 1, 3, 239, 717
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,742,315,686,717, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
742:2x 7x 53
315:3x 3x 5x 7
686:2x 7x 7x 7
717:3x 239
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 3x 5x 7x 7 = 26460
Therefore, the value for common factors is 26460.
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 = 62079968840400/(1x26460)
LCM = 62079968840400/26460
LCM = 2346181740
Thus, we can understand that the LCM of 540,742,315,686,717 is 2346181740.
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FAQs on LCM of 540, 742, 315, 686, 717
1. What is the LCM of 540, 742, 315, 686, 717?
Answer: LCM of 540, 742, 315, 686, 717 is 2346181740.
2. How to calculate the LCM of 540, 742, 315, 686, 717?
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 540, 742, 315, 686, 717.
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}.