LCM of 661, 216, 549, 952, 787
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 216, 549, 952, 787 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 661, 216, 549, 952, 787. So, keep reading to learn more.
Given numbers are 661,216,549,952,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,216,549,952,787 is 815655444408.
Find LCM of 661,216,549,952,787 with Prime Factorization
| 2 | 661, 216, 549, 952, 787 |
| 2 | 661, 108, 549, 476, 787 |
| 2 | 661, 54, 549, 238, 787 |
| 3 | 661, 27, 549, 119, 787 |
| 3 | 661, 9, 183, 119, 787 |
| 661, 3, 61, 119, 787 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 661 x 3 x 61 x 119 x 787 = 815655444408
Therefore, the lowest common multiple of 661,216,549,952,787 is 815655444408.
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.
661 x 216 x 549 x 952 x 787 = 58727191997376
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.
661 : 1, 661
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
549 : 1, 3, 9, 61, 183, 549
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,216,549,952,787, is 1.
Now, the common factors can be found like this.
661:661
216:2x 2x 2x 3x 3x 3
549:3x 3x 61
952:2x 2x 2x 7x 17
787:787
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 3 = 72
Therefore, the value for common factors is 72.
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 = 58727191997376/(1x72)
LCM = 58727191997376/72
LCM = 815655444408
Thus, we can understand that the LCM of 661,216,549,952,787 is 815655444408.
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FAQs on LCM of 661, 216, 549, 952, 787
1. What is the LCM of 661, 216, 549, 952, 787?
Answer: LCM of 661, 216, 549, 952, 787 is 815655444408.
2. How to calculate the LCM of 661, 216, 549, 952, 787?
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 661, 216, 549, 952, 787.
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}.