LCM of 636, 692, 949, 668, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 636, 692, 949, 668, 617 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 636, 692, 949, 668, 617. So, keep reading to learn more.
Given numbers are 636,692,949,668,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 636,692,949,668,617 is 10758979162308.
Find LCM of 636,692,949,668,617 with Prime Factorization
| 2 | 636, 692, 949, 668, 617 |
| 2 | 318, 346, 949, 334, 617 |
| 159, 173, 949, 167, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 159 x 173 x 949 x 167 x 617 = 10758979162308
Therefore, the lowest common multiple of 636,692,949,668,617 is 10758979162308.
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.
636 x 692 x 949 x 668 x 617 = 172143666596928
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.
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
692 : 1, 2, 4, 173, 346, 692
949 : 1, 13, 73, 949
668 : 1, 2, 4, 167, 334, 668
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 636,692,949,668,617, is 1.
Now, the common factors can be found like this.
636:2x 2x 3x 53
692:2x 2x 173
949:13x 73
668:2x 2x 167
617:617
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 2 = 16
Therefore, the value for common factors is 16.
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 = 172143666596928/(1x16)
LCM = 172143666596928/16
LCM = 10758979162308
Thus, we can understand that the LCM of 636,692,949,668,617 is 10758979162308.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 636, 692, 949, 668, 617
1. What is the LCM of 636, 692, 949, 668, 617?
Answer: LCM of 636, 692, 949, 668, 617 is 10758979162308.
2. How to calculate the LCM of 636, 692, 949, 668, 617?
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 636, 692, 949, 668, 617.
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}.