Find the LCM of 635, 535, 362, 638, 374 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, 535, 362, 638, 374. So, keep reading to learn more.
Given numbers are 635,535,362,638,374
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,535,362,638,374 is 133384596070.
Find LCM of 635,535,362,638,374 with Prime Factorization
2 | 635, 535, 362, 638, 374 |
5 | 635, 535, 181, 319, 187 |
11 | 127, 107, 181, 319, 187 |
127, 107, 181, 29, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 127 x 107 x 181 x 29 x 17 = 133384596070
Therefore, the lowest common multiple of 635,535,362,638,374 is 133384596070.
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 535 x 362 x 638 x 374 = 29344611135400
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
535 : 1, 5, 107, 535
362 : 1, 2, 181, 362
638 : 1, 2, 11, 22, 29, 58, 319, 638
374 : 1, 2, 11, 17, 22, 34, 187, 374
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,535,362,638,374, is 1.
Now, the common factors can be found like this.
635:5x 127
535:5x 107
362:2x 181
638:2x 11x 29
374:2x 11x 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 5x 11 = 220
Therefore, the value for common factors is 220.
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 = 29344611135400/(1x220)
LCM = 29344611135400/220
LCM = 133384596070
Thus, we can understand that the LCM of 635,535,362,638,374 is 133384596070.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 635, 535, 362, 638, 374?
Answer: LCM of 635, 535, 362, 638, 374 is 133384596070.
2. How to calculate the LCM of 635, 535, 362, 638, 374?
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, 535, 362, 638, 374.
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}.