Find the LCM of 377, 128, 444, 513, 153 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 377, 128, 444, 513, 153. So, keep reading to learn more.
Given numbers are 377,128,444,513,153
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 377,128,444,513,153 is 15571101312.
Find LCM of 377,128,444,513,153 with Prime Factorization
2 | 377, 128, 444, 513, 153 |
2 | 377, 64, 222, 513, 153 |
3 | 377, 32, 111, 513, 153 |
3 | 377, 32, 37, 171, 51 |
377, 32, 37, 57, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 377 x 32 x 37 x 57 x 17 = 15571101312
Therefore, the lowest common multiple of 377,128,444,513,153 is 15571101312.
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.
377 x 128 x 444 x 513 x 153 = 1681678941696
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.
377 : 1, 13, 29, 377
128 : 1, 2, 4, 8, 16, 32, 64, 128
444 : 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444
513 : 1, 3, 9, 19, 27, 57, 171, 513
153 : 1, 3, 9, 17, 51, 153
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 377,128,444,513,153, is 1.
Now, the common factors can be found like this.
377:13x 29
128:2x 2x 2x 2x 2x 2x 2
444:2x 2x 3x 37
513:3x 3x 3x 19
153:3x 3x 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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 1681678941696/(1x108)
LCM = 1681678941696/108
LCM = 15571101312
Thus, we can understand that the LCM of 377,128,444,513,153 is 15571101312.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 377, 128, 444, 513, 153?
Answer: LCM of 377, 128, 444, 513, 153 is 15571101312.
2. How to calculate the LCM of 377, 128, 444, 513, 153?
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 377, 128, 444, 513, 153.
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}.