LCM of 151, 917, 459, 828, 140
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 151, 917, 459, 828, 140 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 151, 917, 459, 828, 140. So, keep reading to learn more.
Given numbers are 151,917,459,828,140
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,917,459,828,140 is 29235922380.
Find LCM of 151,917,459,828,140 with Prime Factorization
| 2 | 151, 917, 459, 828, 140 |
| 2 | 151, 917, 459, 414, 70 |
| 3 | 151, 917, 459, 207, 35 |
| 3 | 151, 917, 153, 69, 35 |
| 7 | 151, 917, 51, 23, 35 |
| 151, 131, 51, 23, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 151 x 131 x 51 x 23 x 5 = 29235922380
Therefore, the lowest common multiple of 151,917,459,828,140 is 29235922380.
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.
151 x 917 x 459 x 828 x 140 = 7367452439760
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.
151 : 1, 151
917 : 1, 7, 131, 917
459 : 1, 3, 9, 17, 27, 51, 153, 459
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
140 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,917,459,828,140, is 1.
Now, the common factors can be found like this.
151:151
917:7x 131
459:3x 3x 3x 17
828:2x 2x 3x 3x 23
140:2x 2x 5x 7
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 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 7367452439760/(1x252)
LCM = 7367452439760/252
LCM = 29235922380
Thus, we can understand that the LCM of 151,917,459,828,140 is 29235922380.
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FAQs on LCM of 151, 917, 459, 828, 140
1. What is the LCM of 151, 917, 459, 828, 140?
Answer: LCM of 151, 917, 459, 828, 140 is 29235922380.
2. How to calculate the LCM of 151, 917, 459, 828, 140?
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 151, 917, 459, 828, 140.
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}.