LCM of 851, 533, 698, 413, 518
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 851, 533, 698, 413, 518 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 851, 533, 698, 413, 518. So, keep reading to learn more.
Given numbers are 851,533,698,413,518
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 851,533,698,413,518 is 130756185742.
Find LCM of 851,533,698,413,518 with Prime Factorization
| 2 | 851, 533, 698, 413, 518 |
| 7 | 851, 533, 349, 413, 259 |
| 37 | 851, 533, 349, 59, 37 |
| 23, 533, 349, 59, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 37 x 23 x 533 x 349 x 59 x 1 = 130756185742
Therefore, the lowest common multiple of 851,533,698,413,518 is 130756185742.
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.
851 x 533 x 698 x 413 x 518 = 67731704214356
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.
851 : 1, 23, 37, 851
533 : 1, 13, 41, 533
698 : 1, 2, 349, 698
413 : 1, 7, 59, 413
518 : 1, 2, 7, 14, 37, 74, 259, 518
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 851,533,698,413,518, is 1.
Now, the common factors can be found like this.
851:23x 37
533:13x 41
698:2x 349
413:7x 59
518:2x 7x 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 7x 37 = 518
Therefore, the value for common factors is 518.
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 = 67731704214356/(1x518)
LCM = 67731704214356/518
LCM = 130756185742
Thus, we can understand that the LCM of 851,533,698,413,518 is 130756185742.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 851, 533, 698, 413, 518
1. What is the LCM of 851, 533, 698, 413, 518?
Answer: LCM of 851, 533, 698, 413, 518 is 130756185742.
2. How to calculate the LCM of 851, 533, 698, 413, 518?
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 851, 533, 698, 413, 518.
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}.