LCM of 359, 338, 645, 689, 901
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 338, 645, 689, 901 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 359, 338, 645, 689, 901. So, keep reading to learn more.
Given numbers are 359,338,645,689,901
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,338,645,689,901 is 70517296590.
Find LCM of 359,338,645,689,901 with Prime Factorization
| 13 | 359, 338, 645, 689, 901 |
| 53 | 359, 26, 645, 53, 901 |
| 359, 26, 645, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
13 x 53 x 359 x 26 x 645 x 1 x 17 = 70517296590
Therefore, the lowest common multiple of 359,338,645,689,901 is 70517296590.
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.
359 x 338 x 645 x 689 x 901 = 48586417350510
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.
359 : 1, 359
338 : 1, 2, 13, 26, 169, 338
645 : 1, 3, 5, 15, 43, 129, 215, 645
689 : 1, 13, 53, 689
901 : 1, 17, 53, 901
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,338,645,689,901, is 1.
Now, the common factors can be found like this.
359:359
338:2x 13x 13
645:3x 5x 43
689:13x 53
901:17x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 53 = 689
Therefore, the value for common factors is 689.
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 = 48586417350510/(1x689)
LCM = 48586417350510/689
LCM = 70517296590
Thus, we can understand that the LCM of 359,338,645,689,901 is 70517296590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 359, 338, 645, 689, 901
1. What is the LCM of 359, 338, 645, 689, 901?
Answer: LCM of 359, 338, 645, 689, 901 is 70517296590.
2. How to calculate the LCM of 359, 338, 645, 689, 901?
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 359, 338, 645, 689, 901.
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}.