LCM of 941, 509, 768, 352, 407
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 941, 509, 768, 352, 407 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 941, 509, 768, 352, 407. So, keep reading to learn more.
Given numbers are 941,509,768,352,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 941,509,768,352,407 is 149714214144.
Find LCM of 941,509,768,352,407 with Prime Factorization
| 2 | 941, 509, 768, 352, 407 |
| 2 | 941, 509, 384, 176, 407 |
| 2 | 941, 509, 192, 88, 407 |
| 2 | 941, 509, 96, 44, 407 |
| 2 | 941, 509, 48, 22, 407 |
| 11 | 941, 509, 24, 11, 407 |
| 941, 509, 24, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 11 x 941 x 509 x 24 x 1 x 37 = 149714214144
Therefore, the lowest common multiple of 941,509,768,352,407 is 149714214144.
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.
941 x 509 x 768 x 352 x 407 = 52699403378688
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.
941 : 1, 941
509 : 1, 509
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 941,509,768,352,407, is 1.
Now, the common factors can be found like this.
941:941
509:509
768:2x 2x 2x 2x 2x 2x 2x 2x 3
352:2x 2x 2x 2x 2x 11
407:11x 37
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 11 = 352
Therefore, the value for common factors is 352.
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 = 52699403378688/(1x352)
LCM = 52699403378688/352
LCM = 149714214144
Thus, we can understand that the LCM of 941,509,768,352,407 is 149714214144.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 941, 509, 768, 352, 407
1. What is the LCM of 941, 509, 768, 352, 407?
Answer: LCM of 941, 509, 768, 352, 407 is 149714214144.
2. How to calculate the LCM of 941, 509, 768, 352, 407?
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 941, 509, 768, 352, 407.
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}.