LCM of 872, 702, 472, 441, 147
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 702, 472, 441, 147 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 872, 702, 472, 441, 147. So, keep reading to learn more.
Given numbers are 872,702,472,441,147
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,702,472,441,147 is 884854152.
Find LCM of 872,702,472,441,147 with Prime Factorization
| 2 | 872, 702, 472, 441, 147 |
| 2 | 436, 351, 236, 441, 147 |
| 2 | 218, 351, 118, 441, 147 |
| 3 | 109, 351, 59, 441, 147 |
| 3 | 109, 117, 59, 49, 147 |
| 7 | 109, 39, 59, 49, 49 |
| 7 | 109, 39, 59, 7, 7 |
| 109, 39, 59, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 7 x 7 x 109 x 39 x 59 x 1 x 1 = 884854152
Therefore, the lowest common multiple of 872,702,472,441,147 is 884854152.
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.
872 x 702 x 472 x 441 x 147 = 18730592689536
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
472 : 1, 2, 4, 8, 59, 118, 236, 472
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
147 : 1, 3, 7, 21, 49, 147
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,702,472,441,147, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
702:2x 3x 3x 3x 13
472:2x 2x 2x 59
441:3x 3x 7x 7
147:3x 7x 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 2x 2x 3x 3x 3x 7x 7 = 21168
Therefore, the value for common factors is 21168.
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 = 18730592689536/(1x21168)
LCM = 18730592689536/21168
LCM = 884854152
Thus, we can understand that the LCM of 872,702,472,441,147 is 884854152.
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FAQs on LCM of 872, 702, 472, 441, 147
1. What is the LCM of 872, 702, 472, 441, 147?
Answer: LCM of 872, 702, 472, 441, 147 is 884854152.
2. How to calculate the LCM of 872, 702, 472, 441, 147?
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 872, 702, 472, 441, 147.
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}.