LCM of 260, 510, 749, 697, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 510, 749, 697, 768 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 260, 510, 749, 697, 768. So, keep reading to learn more.
Given numbers are 260,510,749,697,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,510,749,697,768 is 26060885760.
Find LCM of 260,510,749,697,768 with Prime Factorization
| 2 | 260, 510, 749, 697, 768 |
| 2 | 130, 255, 749, 697, 384 |
| 3 | 65, 255, 749, 697, 192 |
| 5 | 65, 85, 749, 697, 64 |
| 17 | 13, 17, 749, 697, 64 |
| 13, 1, 749, 41, 64 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 13 x 1 x 749 x 41 x 64 = 26060885760
Therefore, the lowest common multiple of 260,510,749,697,768 is 26060885760.
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.
260 x 510 x 749 x 697 x 768 = 53164206950400
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
749 : 1, 7, 107, 749
697 : 1, 17, 41, 697
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,510,749,697,768, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
510:2x 3x 5x 17
749:7x 107
697:17x 41
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 2x 3x 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 53164206950400/(1x2040)
LCM = 53164206950400/2040
LCM = 26060885760
Thus, we can understand that the LCM of 260,510,749,697,768 is 26060885760.
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FAQs on LCM of 260, 510, 749, 697, 768
1. What is the LCM of 260, 510, 749, 697, 768?
Answer: LCM of 260, 510, 749, 697, 768 is 26060885760.
2. How to calculate the LCM of 260, 510, 749, 697, 768?
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 260, 510, 749, 697, 768.
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}.