LCM of 779, 700, 820, 506, 778
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 700, 820, 506, 778 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 779, 700, 820, 506, 778. So, keep reading to learn more.
Given numbers are 779,700,820,506,778
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,700,820,506,778 is 53666790100.
Find LCM of 779,700,820,506,778 with Prime Factorization
| 2 | 779, 700, 820, 506, 778 |
| 2 | 779, 350, 410, 253, 389 |
| 5 | 779, 175, 205, 253, 389 |
| 41 | 779, 35, 41, 253, 389 |
| 19, 35, 1, 253, 389 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 41 x 19 x 35 x 1 x 253 x 389 = 53666790100
Therefore, the lowest common multiple of 779,700,820,506,778 is 53666790100.
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.
779 x 700 x 820 x 506 x 778 = 176027071528000
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.
779 : 1, 19, 41, 779
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
506 : 1, 2, 11, 22, 23, 46, 253, 506
778 : 1, 2, 389, 778
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,700,820,506,778, is 1.
Now, the common factors can be found like this.
779:19x 41
700:2x 2x 5x 5x 7
820:2x 2x 5x 41
506:2x 11x 23
778:2x 389
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 5x 41 = 3280
Therefore, the value for common factors is 3280.
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 = 176027071528000/(1x3280)
LCM = 176027071528000/3280
LCM = 53666790100
Thus, we can understand that the LCM of 779,700,820,506,778 is 53666790100.
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FAQs on LCM of 779, 700, 820, 506, 778
1. What is the LCM of 779, 700, 820, 506, 778?
Answer: LCM of 779, 700, 820, 506, 778 is 53666790100.
2. How to calculate the LCM of 779, 700, 820, 506, 778?
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 779, 700, 820, 506, 778.
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}.