LCM of 907, 932, 316, 553, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 907, 932, 316, 553, 891 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, 932, 316, 553, 891. So, keep reading to learn more.
Given numbers are 907,932,316,553,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 907,932,316,553,891 is 416510577252.
Find LCM of 907,932,316,553,891 with Prime Factorization
| 2 | 907, 932, 316, 553, 891 |
| 2 | 907, 466, 158, 553, 891 |
| 79 | 907, 233, 79, 553, 891 |
| 907, 233, 1, 7, 891 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 79 x 907 x 233 x 1 x 7 x 891 = 416510577252
Therefore, the lowest common multiple of 907,932,316,553,891 is 416510577252.
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 932 x 316 x 553 x 891 = 131617342411632
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
932 : 1, 2, 4, 233, 466, 932
316 : 1, 2, 4, 79, 158, 316
553 : 1, 7, 79, 553
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,932,316,553,891, is 1.
Now, the common factors can be found like this.
907:907
932:2x 2x 233
316:2x 2x 79
553:7x 79
891:3x 3x 3x 3x 11
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 79 = 316
Therefore, the value for common factors is 316.
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 = 131617342411632/(1x316)
LCM = 131617342411632/316
LCM = 416510577252
Thus, we can understand that the LCM of 907,932,316,553,891 is 416510577252.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 907, 932, 316, 553, 891
1. What is the LCM of 907, 932, 316, 553, 891?
Answer: LCM of 907, 932, 316, 553, 891 is 416510577252.
2. How to calculate the LCM of 907, 932, 316, 553, 891?
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, 932, 316, 553, 891.
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}.