Find the LCM of 373, 936, 508, 489, 468 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 373, 936, 508, 489, 468. So, keep reading to learn more.
Given numbers are 373,936,508,489,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 373,936,508,489,468 is 7227298728.
Find LCM of 373,936,508,489,468 with Prime Factorization
2 | 373, 936, 508, 489, 468 |
2 | 373, 468, 254, 489, 234 |
3 | 373, 117, 127, 489, 234 |
3 | 373, 39, 127, 163, 78 |
13 | 373, 13, 127, 163, 26 |
373, 1, 127, 163, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 373 x 1 x 127 x 163 x 2 = 7227298728
Therefore, the lowest common multiple of 373,936,508,489,468 is 7227298728.
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.
373 x 936 x 508 x 489 x 468 = 40588509656448
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.
373 : 1, 373
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
508 : 1, 2, 4, 127, 254, 508
489 : 1, 3, 163, 489
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 373,936,508,489,468, is 1.
Now, the common factors can be found like this.
373:373
936:2x 2x 2x 3x 3x 13
508:2x 2x 127
489:3x 163
468:2x 2x 3x 3x 13
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 3x 3x 3x 13 = 5616
Therefore, the value for common factors is 5616.
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 = 40588509656448/(1x5616)
LCM = 40588509656448/5616
LCM = 7227298728
Thus, we can understand that the LCM of 373,936,508,489,468 is 7227298728.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 373, 936, 508, 489, 468?
Answer: LCM of 373, 936, 508, 489, 468 is 7227298728.
2. How to calculate the LCM of 373, 936, 508, 489, 468?
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 373, 936, 508, 489, 468.
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}.