LCM of 635, 120, 213, 646, 386
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 120, 213, 646, 386 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, 120, 213, 646, 386. So, keep reading to learn more.
Given numbers are 635,120,213,646,386
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,120,213,646,386 is 67453291560.
Find LCM of 635,120,213,646,386 with Prime Factorization
| 2 | 635, 120, 213, 646, 386 |
| 3 | 635, 60, 213, 323, 193 |
| 5 | 635, 20, 71, 323, 193 |
| 127, 4, 71, 323, 193 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 127 x 4 x 71 x 323 x 193 = 67453291560
Therefore, the lowest common multiple of 635,120,213,646,386 is 67453291560.
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 120 x 213 x 646 x 386 = 4047197493600
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
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
213 : 1, 3, 71, 213
646 : 1, 2, 17, 19, 34, 38, 323, 646
386 : 1, 2, 193, 386
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,120,213,646,386, is 1.
Now, the common factors can be found like this.
635:5x 127
120:2x 2x 2x 3x 5
213:3x 71
646:2x 17x 19
386:2x 193
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 5 = 60
Therefore, the value for common factors is 60.
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 = 4047197493600/(1x60)
LCM = 4047197493600/60
LCM = 67453291560
Thus, we can understand that the LCM of 635,120,213,646,386 is 67453291560.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 635, 120, 213, 646, 386
1. What is the LCM of 635, 120, 213, 646, 386?
Answer: LCM of 635, 120, 213, 646, 386 is 67453291560.
2. How to calculate the LCM of 635, 120, 213, 646, 386?
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, 120, 213, 646, 386.
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}.