LCM of 763, 518, 865, 510, 851
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 763, 518, 865, 510, 851 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 763, 518, 865, 510, 851. So, keep reading to learn more.
Given numbers are 763,518,865,510,851
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,518,865,510,851 is 57288885990.
Find LCM of 763,518,865,510,851 with Prime Factorization
| 2 | 763, 518, 865, 510, 851 |
| 5 | 763, 259, 865, 255, 851 |
| 7 | 763, 259, 173, 51, 851 |
| 37 | 109, 37, 173, 51, 851 |
| 109, 1, 173, 51, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 37 x 109 x 1 x 173 x 51 x 23 = 57288885990
Therefore, the lowest common multiple of 763,518,865,510,851 is 57288885990.
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.
763 x 518 x 865 x 510 x 851 = 148378214714100
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.
763 : 1, 7, 109, 763
518 : 1, 2, 7, 14, 37, 74, 259, 518
865 : 1, 5, 173, 865
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
851 : 1, 23, 37, 851
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,518,865,510,851, is 1.
Now, the common factors can be found like this.
763:7x 109
518:2x 7x 37
865:5x 173
510:2x 3x 5x 17
851:23x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 37 = 2590
Therefore, the value for common factors is 2590.
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 = 148378214714100/(1x2590)
LCM = 148378214714100/2590
LCM = 57288885990
Thus, we can understand that the LCM of 763,518,865,510,851 is 57288885990.
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FAQs on LCM of 763, 518, 865, 510, 851
1. What is the LCM of 763, 518, 865, 510, 851?
Answer: LCM of 763, 518, 865, 510, 851 is 57288885990.
2. How to calculate the LCM of 763, 518, 865, 510, 851?
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 763, 518, 865, 510, 851.
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}.