LCM of 745, 406, 638, 147, 858
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 745, 406, 638, 147, 858 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 745, 406, 638, 147, 858. So, keep reading to learn more.
Given numbers are 745,406,638,147,858
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 745,406,638,147,858 is 908317410.
Find LCM of 745,406,638,147,858 with Prime Factorization
| 2 | 745, 406, 638, 147, 858 |
| 3 | 745, 203, 319, 147, 429 |
| 7 | 745, 203, 319, 49, 143 |
| 11 | 745, 29, 319, 7, 143 |
| 29 | 745, 29, 29, 7, 13 |
| 745, 1, 1, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 29 x 745 x 1 x 1 x 7 x 13 = 908317410
Therefore, the lowest common multiple of 745,406,638,147,858 is 908317410.
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.
745 x 406 x 638 x 147 x 858 = 24339273318360
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.
745 : 1, 5, 149, 745
406 : 1, 2, 7, 14, 29, 58, 203, 406
638 : 1, 2, 11, 22, 29, 58, 319, 638
147 : 1, 3, 7, 21, 49, 147
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 745,406,638,147,858, is 1.
Now, the common factors can be found like this.
745:5x 149
406:2x 7x 29
638:2x 11x 29
147:3x 7x 7
858:2x 3x 11x 13
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 7x 11x 29 = 26796
Therefore, the value for common factors is 26796.
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 = 24339273318360/(1x26796)
LCM = 24339273318360/26796
LCM = 908317410
Thus, we can understand that the LCM of 745,406,638,147,858 is 908317410.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 745, 406, 638, 147, 858
1. What is the LCM of 745, 406, 638, 147, 858?
Answer: LCM of 745, 406, 638, 147, 858 is 908317410.
2. How to calculate the LCM of 745, 406, 638, 147, 858?
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 745, 406, 638, 147, 858.
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}.