LCM of 780, 876, 278, 663, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 780, 876, 278, 663, 901 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 780, 876, 278, 663, 901. So, keep reading to learn more.
Given numbers are 780,876,278,663,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 780,876,278,663,901 is 7131108660.
Find LCM of 780,876,278,663,901 with Prime Factorization
| 2 | 780, 876, 278, 663, 901 |
| 2 | 390, 438, 139, 663, 901 |
| 3 | 195, 219, 139, 663, 901 |
| 13 | 65, 73, 139, 221, 901 |
| 17 | 5, 73, 139, 17, 901 |
| 5, 73, 139, 1, 53 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 17 x 5 x 73 x 139 x 1 x 53 = 7131108660
Therefore, the lowest common multiple of 780,876,278,663,901 is 7131108660.
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.
780 x 876 x 278 x 663 x 901 = 113470200997920
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.
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
876 : 1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876
278 : 1, 2, 139, 278
663 : 1, 3, 13, 17, 39, 51, 221, 663
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 780,876,278,663,901, is 1.
Now, the common factors can be found like this.
780:2x 2x 3x 5x 13
876:2x 2x 3x 73
278:2x 139
663:3x 13x 17
901:17x 53
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 3x 3x 13x 17 = 15912
Therefore, the value for common factors is 15912.
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 = 113470200997920/(1x15912)
LCM = 113470200997920/15912
LCM = 7131108660
Thus, we can understand that the LCM of 780,876,278,663,901 is 7131108660.
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FAQs on LCM of 780, 876, 278, 663, 901
1. What is the LCM of 780, 876, 278, 663, 901?
Answer: LCM of 780, 876, 278, 663, 901 is 7131108660.
2. How to calculate the LCM of 780, 876, 278, 663, 901?
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 780, 876, 278, 663, 901.
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}.