LCM of 779, 646, 766, 697, 948
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 779, 646, 766, 697, 948 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, 646, 766, 697, 948. So, keep reading to learn more.
Given numbers are 779,646,766,697,948
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 779,646,766,697,948 is 4808321412.
Find LCM of 779,646,766,697,948 with Prime Factorization
| 2 | 779, 646, 766, 697, 948 |
| 17 | 779, 323, 383, 697, 474 |
| 19 | 779, 19, 383, 41, 474 |
| 41 | 41, 1, 383, 41, 474 |
| 1, 1, 383, 1, 474 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 41 x 1 x 1 x 383 x 1 x 474 = 4808321412
Therefore, the lowest common multiple of 779,646,766,697,948 is 4808321412.
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 646 x 766 x 697 x 948 = 254706401836464
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
766 : 1, 2, 383, 766
697 : 1, 17, 41, 697
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,646,766,697,948, is 1.
Now, the common factors can be found like this.
779:19x 41
646:2x 17x 19
766:2x 383
697:17x 41
948:2x 2x 3x 79
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 17x 19x 41 = 52972
Therefore, the value for common factors is 52972.
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 = 254706401836464/(1x52972)
LCM = 254706401836464/52972
LCM = 4808321412
Thus, we can understand that the LCM of 779,646,766,697,948 is 4808321412.
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FAQs on LCM of 779, 646, 766, 697, 948
1. What is the LCM of 779, 646, 766, 697, 948?
Answer: LCM of 779, 646, 766, 697, 948 is 4808321412.
2. How to calculate the LCM of 779, 646, 766, 697, 948?
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, 646, 766, 697, 948.
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}.