LCM of 934, 596, 798, 414, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 596, 798, 414, 476 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, 596, 798, 414, 476. So, keep reading to learn more.
Given numbers are 934,596,798,414,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,596,798,414,476 is 130266890964.
Find LCM of 934,596,798,414,476 with Prime Factorization
| 2 | 934, 596, 798, 414, 476 |
| 2 | 467, 298, 399, 207, 238 |
| 3 | 467, 149, 399, 207, 119 |
| 7 | 467, 149, 133, 69, 119 |
| 467, 149, 19, 69, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 467 x 149 x 19 x 69 x 17 = 130266890964
Therefore, the lowest common multiple of 934,596,798,414,476 is 130266890964.
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 596 x 798 x 414 x 476 = 87539350727808
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
596 : 1, 2, 4, 149, 298, 596
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,596,798,414,476, is 2.
Now, the common factors can be found like this.
934:2x 467
596:2x 2x 149
798:2x 3x 7x 19
414:2x 3x 3x 23
476:2x 2x 7x 17
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 7 = 336
Therefore, the value for common factors is 336.
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 = 87539350727808/(2x336)
LCM = 87539350727808/672
LCM = 130266890964
Thus, we can understand that the LCM of 934,596,798,414,476 is 130266890964.
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FAQs on LCM of 934, 596, 798, 414, 476
1. What is the LCM of 934, 596, 798, 414, 476?
Answer: LCM of 934, 596, 798, 414, 476 is 130266890964.
2. How to calculate the LCM of 934, 596, 798, 414, 476?
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, 596, 798, 414, 476.
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}.