LCM of 174, 464, 943, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 174, 464, 943, 784 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 174, 464, 943, 784. So, keep reading to learn more.
Given numbers are 174,464,943,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 174,464,943,784 is 64320144.
Find LCM of 174,464,943,784 with Prime Factorization
| 2 | 174, 464, 943, 784 |
| 2 | 87, 232, 943, 392 |
| 2 | 87, 116, 943, 196 |
| 2 | 87, 58, 943, 98 |
| 29 | 87, 29, 943, 49 |
| 3, 1, 943, 49 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 3 x 1 x 943 x 49 = 64320144
Therefore, the lowest common multiple of 174,464,943,784 is 64320144.
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.
174 x 464 x 943 x 784 = 59689093632
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.
174 : 1, 2, 3, 6, 29, 58, 87, 174
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
943 : 1, 23, 41, 943
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 174,464,943,784, is 1.
Now, the common factors can be found like this.
174:2x 3x 29
464:2x 2x 2x 2x 29
943:23x 41
784:2x 2x 2x 2x 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 2x 29 = 928
Therefore, the value for common factors is 928.
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 = 59689093632/(1x928)
LCM = 59689093632/928
LCM = 64320144
Thus, we can understand that the LCM of 174,464,943,784 is 64320144.
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FAQs on LCM of 174, 464, 943, 784
1. What is the LCM of 174, 464, 943, 784?
Answer: LCM of 174, 464, 943, 784 is 64320144.
2. How to calculate the LCM of 174, 464, 943, 784?
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 174, 464, 943, 784.
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}.