LCM of 901, 826, 777, 354, 668
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 901, 826, 777, 354, 668 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 901, 826, 777, 354, 668. So, keep reading to learn more.
Given numbers are 901,826,777,354,668
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 901,826,777,354,668 is 27591434724.
Find LCM of 901,826,777,354,668 with Prime Factorization
| 2 | 901, 826, 777, 354, 668 |
| 3 | 901, 413, 777, 177, 334 |
| 7 | 901, 413, 259, 59, 334 |
| 59 | 901, 59, 37, 59, 334 |
| 901, 1, 37, 1, 334 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 59 x 901 x 1 x 37 x 1 x 334 = 27591434724
Therefore, the lowest common multiple of 901,826,777,354,668 is 27591434724.
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.
901 x 826 x 777 x 354 x 668 = 136743150492144
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.
901 : 1, 17, 53, 901
826 : 1, 2, 7, 14, 59, 118, 413, 826
777 : 1, 3, 7, 21, 37, 111, 259, 777
354 : 1, 2, 3, 6, 59, 118, 177, 354
668 : 1, 2, 4, 167, 334, 668
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 901,826,777,354,668, is 1.
Now, the common factors can be found like this.
901:17x 53
826:2x 7x 59
777:3x 7x 37
354:2x 3x 59
668:2x 2x 167
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 59 = 4956
Therefore, the value for common factors is 4956.
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 = 136743150492144/(1x4956)
LCM = 136743150492144/4956
LCM = 27591434724
Thus, we can understand that the LCM of 901,826,777,354,668 is 27591434724.
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FAQs on LCM of 901, 826, 777, 354, 668
1. What is the LCM of 901, 826, 777, 354, 668?
Answer: LCM of 901, 826, 777, 354, 668 is 27591434724.
2. How to calculate the LCM of 901, 826, 777, 354, 668?
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 901, 826, 777, 354, 668.
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}.