LCM of 695, 946, 572, 375, 480
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 946, 572, 375, 480 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 695, 946, 572, 375, 480. So, keep reading to learn more.
Given numbers are 695,946,572,375,480
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,946,572,375,480 is 10256532000.
Find LCM of 695,946,572,375,480 with Prime Factorization
| 2 | 695, 946, 572, 375, 480 |
| 2 | 695, 473, 286, 375, 240 |
| 3 | 695, 473, 143, 375, 120 |
| 5 | 695, 473, 143, 125, 40 |
| 11 | 139, 473, 143, 25, 8 |
| 139, 43, 13, 25, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 139 x 43 x 13 x 25 x 8 = 10256532000
Therefore, the lowest common multiple of 695,946,572,375,480 is 10256532000.
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.
695 x 946 x 572 x 375 x 480 = 67693111200000
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.
695 : 1, 5, 139, 695
946 : 1, 2, 11, 22, 43, 86, 473, 946
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
375 : 1, 3, 5, 15, 25, 75, 125, 375
480 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,946,572,375,480, is 1.
Now, the common factors can be found like this.
695:5x 139
946:2x 11x 43
572:2x 2x 11x 13
375:3x 5x 5x 5
480:2x 2x 2x 2x 2x 3x 5
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 3x 5x 5x 11 = 6600
Therefore, the value for common factors is 6600.
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 = 67693111200000/(1x6600)
LCM = 67693111200000/6600
LCM = 10256532000
Thus, we can understand that the LCM of 695,946,572,375,480 is 10256532000.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 695, 946, 572, 375, 480
1. What is the LCM of 695, 946, 572, 375, 480?
Answer: LCM of 695, 946, 572, 375, 480 is 10256532000.
2. How to calculate the LCM of 695, 946, 572, 375, 480?
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 695, 946, 572, 375, 480.
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}.