Find the LCM of 635, 916, 408, 680 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, 916, 408, 680. So, keep reading to learn more.
Given numbers are 635,916,408,680
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,916,408,680 is 59329320.
Find LCM of 635,916,408,680 with Prime Factorization
2 | 635, 916, 408, 680 |
2 | 635, 458, 204, 340 |
2 | 635, 229, 102, 170 |
5 | 635, 229, 51, 85 |
17 | 127, 229, 51, 17 |
127, 229, 3, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 17 x 127 x 229 x 3 x 1 = 59329320
Therefore, the lowest common multiple of 635,916,408,680 is 59329320.
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 916 x 408 x 680 = 161375750400
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
916 : 1, 2, 4, 229, 458, 916
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,916,408,680, is 1.
Now, the common factors can be found like this.
635:5x 127
916:2x 2x 229
408:2x 2x 2x 3x 17
680:2x 2x 2x 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 2x 2x 2x 5x 17 = 2720
Therefore, the value for common factors is 2720.
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 = 161375750400/(1x2720)
LCM = 161375750400/2720
LCM = 59329320
Thus, we can understand that the LCM of 635,916,408,680 is 59329320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 916, 408, 680?
Answer: LCM of 635, 916, 408, 680 is 59329320.
2. How to calculate the LCM of 635, 916, 408, 680?
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, 916, 408, 680.
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}.