LCM of 474, 788, 726, 336, 726
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 788, 726, 336, 726 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 474, 788, 726, 336, 726. So, keep reading to learn more.
Given numbers are 474,788,726,336,726
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,788,726,336,726 is 632729328.
Find LCM of 474,788,726,336,726 with Prime Factorization
| 2 | 474, 788, 726, 336, 726 |
| 2 | 237, 394, 363, 168, 363 |
| 3 | 237, 197, 363, 84, 363 |
| 11 | 79, 197, 121, 28, 121 |
| 11 | 79, 197, 11, 28, 11 |
| 79, 197, 1, 28, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 11 x 79 x 197 x 1 x 28 x 1 = 632729328
Therefore, the lowest common multiple of 474,788,726,336,726 is 632729328.
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.
474 x 788 x 726 x 336 x 726 = 66148054866432
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
788 : 1, 2, 4, 197, 394, 788
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,788,726,336,726, is 2.
Now, the common factors can be found like this.
474:2x 3x 79
788:2x 2x 197
726:2x 3x 11x 11
336:2x 2x 2x 2x 3x 7
726:2x 3x 11x 11
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 11x 11 = 52272
Therefore, the value for common factors is 52272.
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 = 66148054866432/(2x52272)
LCM = 66148054866432/104544
LCM = 632729328
Thus, we can understand that the LCM of 474,788,726,336,726 is 632729328.
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FAQs on LCM of 474, 788, 726, 336, 726
1. What is the LCM of 474, 788, 726, 336, 726?
Answer: LCM of 474, 788, 726, 336, 726 is 632729328.
2. How to calculate the LCM of 474, 788, 726, 336, 726?
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 474, 788, 726, 336, 726.
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}.