LCM of 934, 384, 963, 573, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 384, 963, 573, 467 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 934, 384, 963, 573, 467. So, keep reading to learn more.
Given numbers are 934,384,963,573,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,384,963,573,467 is 10994779008.
Find LCM of 934,384,963,573,467 with Prime Factorization
| 2 | 934, 384, 963, 573, 467 |
| 3 | 467, 192, 963, 573, 467 |
| 467 | 467, 64, 321, 191, 467 |
| 1, 64, 321, 191, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 467 x 1 x 64 x 321 x 191 x 1 = 10994779008
Therefore, the lowest common multiple of 934,384,963,573,467 is 10994779008.
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.
934 x 384 x 963 x 573 x 467 = 92422112341248
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.
934 : 1, 2, 467, 934
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
963 : 1, 3, 9, 107, 321, 963
573 : 1, 3, 191, 573
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,384,963,573,467, is 1.
Now, the common factors can be found like this.
934:2x 467
384:2x 2x 2x 2x 2x 2x 2x 3
963:3x 3x 107
573:3x 191
467:467
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 467 = 8406
Therefore, the value for common factors is 8406.
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 = 92422112341248/(1x8406)
LCM = 92422112341248/8406
LCM = 10994779008
Thus, we can understand that the LCM of 934,384,963,573,467 is 10994779008.
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FAQs on LCM of 934, 384, 963, 573, 467
1. What is the LCM of 934, 384, 963, 573, 467?
Answer: LCM of 934, 384, 963, 573, 467 is 10994779008.
2. How to calculate the LCM of 934, 384, 963, 573, 467?
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 934, 384, 963, 573, 467.
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}.