LCM of 380, 895, 628, 382, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 380, 895, 628, 382, 644 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 380, 895, 628, 382, 644. So, keep reading to learn more.
Given numbers are 380,895,628,382,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 380,895,628,382,644 is 328394234140.
Find LCM of 380,895,628,382,644 with Prime Factorization
| 2 | 380, 895, 628, 382, 644 |
| 2 | 190, 895, 314, 191, 322 |
| 5 | 95, 895, 157, 191, 161 |
| 19, 179, 157, 191, 161 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 19 x 179 x 157 x 191 x 161 = 328394234140
Therefore, the lowest common multiple of 380,895,628,382,644 is 328394234140.
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.
380 x 895 x 628 x 382 x 644 = 52543077462400
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.
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
895 : 1, 5, 179, 895
628 : 1, 2, 4, 157, 314, 628
382 : 1, 2, 191, 382
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,895,628,382,644, is 1.
Now, the common factors can be found like this.
380:2x 2x 5x 19
895:5x 179
628:2x 2x 157
382:2x 191
644:2x 2x 7x 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 2x 2x 2x 5 = 160
Therefore, the value for common factors is 160.
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 = 52543077462400/(1x160)
LCM = 52543077462400/160
LCM = 328394234140
Thus, we can understand that the LCM of 380,895,628,382,644 is 328394234140.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 380, 895, 628, 382, 644
1. What is the LCM of 380, 895, 628, 382, 644?
Answer: LCM of 380, 895, 628, 382, 644 is 328394234140.
2. How to calculate the LCM of 380, 895, 628, 382, 644?
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 380, 895, 628, 382, 644.
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}.