LCM of 598, 156, 788, 933, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 156, 788, 933, 492 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 598, 156, 788, 933, 492. So, keep reading to learn more.
Given numbers are 598,156,788,933,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,156,788,933,492 is 9012865836.
Find LCM of 598,156,788,933,492 with Prime Factorization
| 2 | 598, 156, 788, 933, 492 |
| 2 | 299, 78, 394, 933, 246 |
| 3 | 299, 39, 197, 933, 123 |
| 13 | 299, 13, 197, 311, 41 |
| 23, 1, 197, 311, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 1 x 197 x 311 x 41 = 9012865836
Therefore, the lowest common multiple of 598,156,788,933,492 is 9012865836.
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.
598 x 156 x 788 x 933 x 492 = 33744169689984
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
788 : 1, 2, 4, 197, 394, 788
933 : 1, 3, 311, 933
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,156,788,933,492, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
156:2x 2x 3x 13
788:2x 2x 197
933:3x 311
492:2x 2x 3x 41
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 3x 3x 13 = 3744
Therefore, the value for common factors is 3744.
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 = 33744169689984/(1x3744)
LCM = 33744169689984/3744
LCM = 9012865836
Thus, we can understand that the LCM of 598,156,788,933,492 is 9012865836.
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FAQs on LCM of 598, 156, 788, 933, 492
1. What is the LCM of 598, 156, 788, 933, 492?
Answer: LCM of 598, 156, 788, 933, 492 is 9012865836.
2. How to calculate the LCM of 598, 156, 788, 933, 492?
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 598, 156, 788, 933, 492.
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}.