LCM of 598, 426, 199, 520, 492
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 426, 199, 520, 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, 426, 199, 520, 492. So, keep reading to learn more.
Given numbers are 598,426,199,520,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,426,199,520,492 is 20784889320.
Find LCM of 598,426,199,520,492 with Prime Factorization
| 2 | 598, 426, 199, 520, 492 |
| 2 | 299, 213, 199, 260, 246 |
| 3 | 299, 213, 199, 130, 123 |
| 13 | 299, 71, 199, 130, 41 |
| 23, 71, 199, 10, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 23 x 71 x 199 x 10 x 41 = 20784889320
Therefore, the lowest common multiple of 598,426,199,520,492 is 20784889320.
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 426 x 199 x 520 x 492 = 12969770935680
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
426 : 1, 2, 3, 6, 71, 142, 213, 426
199 : 1, 199
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
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 598,426,199,520,492, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
426:2x 3x 71
199:199
520:2x 2x 2x 5x 13
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 3x 13 = 624
Therefore, the value for common factors is 624.
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 = 12969770935680/(1x624)
LCM = 12969770935680/624
LCM = 20784889320
Thus, we can understand that the LCM of 598,426,199,520,492 is 20784889320.
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FAQs on LCM of 598, 426, 199, 520, 492
1. What is the LCM of 598, 426, 199, 520, 492?
Answer: LCM of 598, 426, 199, 520, 492 is 20784889320.
2. How to calculate the LCM of 598, 426, 199, 520, 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, 426, 199, 520, 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}.