LCM of 519, 642, 267, 699, 101
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 519, 642, 267, 699, 101 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 519, 642, 267, 699, 101. So, keep reading to learn more.
Given numbers are 519,642,267,699,101
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 519,642,267,699,101 is 232620739842.
Find LCM of 519,642,267,699,101 with Prime Factorization
| 3 | 519, 642, 267, 699, 101 |
| 173, 214, 89, 233, 101 |
Multiply the prime numbers at the bottom and the left side.
3 x 173 x 214 x 89 x 233 x 101 = 232620739842
Therefore, the lowest common multiple of 519,642,267,699,101 is 232620739842.
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.
519 x 642 x 267 x 699 x 101 = 6280759975734
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.
519 : 1, 3, 173, 519
642 : 1, 2, 3, 6, 107, 214, 321, 642
267 : 1, 3, 89, 267
699 : 1, 3, 233, 699
101 : 1, 101
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 519,642,267,699,101, is 1.
Now, the common factors can be found like this.
519:3x 173
642:2x 3x 107
267:3x 89
699:3x 233
101:101
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 3 = 27
Therefore, the value for common factors is 27.
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 = 6280759975734/(1x27)
LCM = 6280759975734/27
LCM = 232620739842
Thus, we can understand that the LCM of 519,642,267,699,101 is 232620739842.
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FAQs on LCM of 519, 642, 267, 699, 101
1. What is the LCM of 519, 642, 267, 699, 101?
Answer: LCM of 519, 642, 267, 699, 101 is 232620739842.
2. How to calculate the LCM of 519, 642, 267, 699, 101?
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 519, 642, 267, 699, 101.
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}.