LCM of 979, 202, 510, 444, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 979, 202, 510, 444, 765 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 979, 202, 510, 444, 765. So, keep reading to learn more.
Given numbers are 979,202,510,444,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 979,202,510,444,765 is 11195080380.
Find LCM of 979,202,510,444,765 with Prime Factorization
| 2 | 979, 202, 510, 444, 765 |
| 3 | 979, 101, 255, 222, 765 |
| 5 | 979, 101, 85, 74, 255 |
| 17 | 979, 101, 17, 74, 51 |
| 979, 101, 1, 74, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 979 x 101 x 1 x 74 x 3 = 11195080380
Therefore, the lowest common multiple of 979,202,510,444,765 is 11195080380.
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.
979 x 202 x 510 x 444 x 765 = 34256945962800
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.
979 : 1, 11, 89, 979
202 : 1, 2, 101, 202
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 979,202,510,444,765, is 1.
Now, the common factors can be found like this.
979:11x 89
202:2x 101
510:2x 3x 5x 17
444:2x 2x 3x 37
765:3x 3x 5x 17
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 3x 3x 5x 17 = 3060
Therefore, the value for common factors is 3060.
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 = 34256945962800/(1x3060)
LCM = 34256945962800/3060
LCM = 11195080380
Thus, we can understand that the LCM of 979,202,510,444,765 is 11195080380.
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FAQs on LCM of 979, 202, 510, 444, 765
1. What is the LCM of 979, 202, 510, 444, 765?
Answer: LCM of 979, 202, 510, 444, 765 is 11195080380.
2. How to calculate the LCM of 979, 202, 510, 444, 765?
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 979, 202, 510, 444, 765.
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}.