LCM of 472, 918, 187, 422, 902
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 918, 187, 422, 902 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 472, 918, 187, 422, 902. So, keep reading to learn more.
Given numbers are 472,918,187,422,902
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,918,187,422,902 is 20616440328.
Find LCM of 472,918,187,422,902 with Prime Factorization
| 2 | 472, 918, 187, 422, 902 |
| 11 | 236, 459, 187, 211, 451 |
| 17 | 236, 459, 17, 211, 41 |
| 236, 27, 1, 211, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 17 x 236 x 27 x 1 x 211 x 41 = 20616440328
Therefore, the lowest common multiple of 472,918,187,422,902 is 20616440328.
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.
472 x 918 x 187 x 422 x 902 = 30842194730688
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
187 : 1, 11, 17, 187
422 : 1, 2, 211, 422
902 : 1, 2, 11, 22, 41, 82, 451, 902
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,918,187,422,902, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
918:2x 3x 3x 3x 17
187:11x 17
422:2x 211
902:2x 11x 41
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 11x 17 = 1496
Therefore, the value for common factors is 1496.
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 = 30842194730688/(1x1496)
LCM = 30842194730688/1496
LCM = 20616440328
Thus, we can understand that the LCM of 472,918,187,422,902 is 20616440328.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 472, 918, 187, 422, 902
1. What is the LCM of 472, 918, 187, 422, 902?
Answer: LCM of 472, 918, 187, 422, 902 is 20616440328.
2. How to calculate the LCM of 472, 918, 187, 422, 902?
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 472, 918, 187, 422, 902.
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}.