LCM of 776, 977, 612, 667, 435
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 776, 977, 612, 667, 435 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 776, 977, 612, 667, 435. So, keep reading to learn more.
Given numbers are 776,977,612,667,435
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 776,977,612,667,435 is 386850848760.
Find LCM of 776,977,612,667,435 with Prime Factorization
| 2 | 776, 977, 612, 667, 435 |
| 2 | 388, 977, 306, 667, 435 |
| 3 | 194, 977, 153, 667, 435 |
| 29 | 194, 977, 51, 667, 145 |
| 194, 977, 51, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 194 x 977 x 51 x 23 x 5 = 386850848760
Therefore, the lowest common multiple of 776,977,612,667,435 is 386850848760.
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.
776 x 977 x 612 x 667 x 435 = 134624095368480
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.
776 : 1, 2, 4, 8, 97, 194, 388, 776
977 : 1, 977
612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
667 : 1, 23, 29, 667
435 : 1, 3, 5, 15, 29, 87, 145, 435
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 776,977,612,667,435, is 1.
Now, the common factors can be found like this.
776:2x 2x 2x 97
977:977
612:2x 2x 3x 3x 17
667:23x 29
435:3x 5x 29
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 29 = 348
Therefore, the value for common factors is 348.
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 = 134624095368480/(1x348)
LCM = 134624095368480/348
LCM = 386850848760
Thus, we can understand that the LCM of 776,977,612,667,435 is 386850848760.
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FAQs on LCM of 776, 977, 612, 667, 435
1. What is the LCM of 776, 977, 612, 667, 435?
Answer: LCM of 776, 977, 612, 667, 435 is 386850848760.
2. How to calculate the LCM of 776, 977, 612, 667, 435?
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 776, 977, 612, 667, 435.
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}.