LCM of 220, 208, 784, 661, 677
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 208, 784, 661, 677 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 220, 208, 784, 661, 677. So, keep reading to learn more.
Given numbers are 220,208,784,661,677
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,208,784,661,677 is 250848918320.
Find LCM of 220,208,784,661,677 with Prime Factorization
| 2 | 220, 208, 784, 661, 677 |
| 2 | 110, 104, 392, 661, 677 |
| 2 | 55, 52, 196, 661, 677 |
| 2 | 55, 26, 98, 661, 677 |
| 55, 13, 49, 661, 677 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 55 x 13 x 49 x 661 x 677 = 250848918320
Therefore, the lowest common multiple of 220,208,784,661,677 is 250848918320.
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.
220 x 208 x 784 x 661 x 677 = 16054330772480
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
661 : 1, 661
677 : 1, 677
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,208,784,661,677, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
208:2x 2x 2x 2x 13
784:2x 2x 2x 2x 7x 7
661:661
677:677
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 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 16054330772480/(1x64)
LCM = 16054330772480/64
LCM = 250848918320
Thus, we can understand that the LCM of 220,208,784,661,677 is 250848918320.
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FAQs on LCM of 220, 208, 784, 661, 677
1. What is the LCM of 220, 208, 784, 661, 677?
Answer: LCM of 220, 208, 784, 661, 677 is 250848918320.
2. How to calculate the LCM of 220, 208, 784, 661, 677?
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 220, 208, 784, 661, 677.
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}.