LCM of 778, 495, 772, 175, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 495, 772, 175, 616 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 778, 495, 772, 175, 616. So, keep reading to learn more.
Given numbers are 778,495,772,175,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,495,772,175,616 is 10405672200.
Find LCM of 778,495,772,175,616 with Prime Factorization
| 2 | 778, 495, 772, 175, 616 |
| 2 | 389, 495, 386, 175, 308 |
| 5 | 389, 495, 193, 175, 154 |
| 7 | 389, 99, 193, 35, 154 |
| 11 | 389, 99, 193, 5, 22 |
| 389, 9, 193, 5, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 11 x 389 x 9 x 193 x 5 x 2 = 10405672200
Therefore, the lowest common multiple of 778,495,772,175,616 is 10405672200.
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.
778 x 495 x 772 x 175 x 616 = 32049470376000
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.
778 : 1, 2, 389, 778
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
772 : 1, 2, 4, 193, 386, 772
175 : 1, 5, 7, 25, 35, 175
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,495,772,175,616, is 1.
Now, the common factors can be found like this.
778:2x 389
495:3x 3x 5x 11
772:2x 2x 193
175:5x 5x 7
616:2x 2x 2x 7x 11
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 5x 7x 11 = 3080
Therefore, the value for common factors is 3080.
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 = 32049470376000/(1x3080)
LCM = 32049470376000/3080
LCM = 10405672200
Thus, we can understand that the LCM of 778,495,772,175,616 is 10405672200.
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FAQs on LCM of 778, 495, 772, 175, 616
1. What is the LCM of 778, 495, 772, 175, 616?
Answer: LCM of 778, 495, 772, 175, 616 is 10405672200.
2. How to calculate the LCM of 778, 495, 772, 175, 616?
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 778, 495, 772, 175, 616.
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}.