Find the LCM of 635, 616, 254, 289, 506 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 635, 616, 254, 289, 506. So, keep reading to learn more.
Given numbers are 635,616,254,289,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,616,254,289,506 is 2600040520.
Find LCM of 635,616,254,289,506 with Prime Factorization
2 | 635, 616, 254, 289, 506 |
11 | 635, 308, 127, 289, 253 |
127 | 635, 28, 127, 289, 23 |
5, 28, 1, 289, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 127 x 5 x 28 x 1 x 289 x 23 = 2600040520
Therefore, the lowest common multiple of 635,616,254,289,506 is 2600040520.
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.
635 x 616 x 254 x 289 x 506 = 14529026425760
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.
635 : 1, 5, 127, 635
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
254 : 1, 2, 127, 254
289 : 1, 17, 289
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,616,254,289,506, is 1.
Now, the common factors can be found like this.
635:5x 127
616:2x 2x 2x 7x 11
254:2x 127
289:17x 17
506:2x 11x 23
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 11x 127 = 5588
Therefore, the value for common factors is 5588.
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 = 14529026425760/(1x5588)
LCM = 14529026425760/5588
LCM = 2600040520
Thus, we can understand that the LCM of 635,616,254,289,506 is 2600040520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 616, 254, 289, 506?
Answer: LCM of 635, 616, 254, 289, 506 is 2600040520.
2. How to calculate the LCM of 635, 616, 254, 289, 506?
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 635, 616, 254, 289, 506.
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}.