LCM of 907, 390, 901, 221
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 390, 901, 221 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 907, 390, 901, 221. So, keep reading to learn more.
Given numbers are 907,390,901,221
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,390,901,221 is 318710730.
Find LCM of 907,390,901,221 with Prime Factorization
| 13 | 907, 390, 901, 221 |
| 17 | 907, 30, 901, 17 |
| 907, 30, 53, 1 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 907 x 30 x 53 x 1 = 318710730
Therefore, the lowest common multiple of 907,390,901,221 is 318710730.
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.
907 x 390 x 901 x 221 = 70435071330
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.
907 : 1, 907
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
901 : 1, 17, 53, 901
221 : 1, 13, 17, 221
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,390,901,221, is 1.
Now, the common factors can be found like this.
907:907
390:2x 3x 5x 13
901:17x 53
221:13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 70435071330/(1x221)
LCM = 70435071330/221
LCM = 318710730
Thus, we can understand that the LCM of 907,390,901,221 is 318710730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 907, 390, 901, 221
1. What is the LCM of 907, 390, 901, 221?
Answer: LCM of 907, 390, 901, 221 is 318710730.
2. How to calculate the LCM of 907, 390, 901, 221?
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 907, 390, 901, 221.
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}.