LCM of 498, 587, 812, 587
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 587, 812, 587 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 498, 587, 812, 587. So, keep reading to learn more.
Given numbers are 498,587,812,587
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,587,812,587 is 118684356.
Find LCM of 498,587,812,587 with Prime Factorization
| 2 | 498, 587, 812, 587 |
| 587 | 249, 587, 406, 587 |
| 249, 1, 406, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 587 x 249 x 1 x 406 x 1 = 118684356
Therefore, the lowest common multiple of 498,587,812,587 is 118684356.
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.
498 x 587 x 812 x 587 = 139335433944
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
587 : 1, 587
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
587 : 1, 587
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,587,812,587, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
587:587
812:2x 2x 7x 29
587:587
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 587 = 1174
Therefore, the value for common factors is 1174.
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 = 139335433944/(1x1174)
LCM = 139335433944/1174
LCM = 118684356
Thus, we can understand that the LCM of 498,587,812,587 is 118684356.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 498, 587, 812, 587
1. What is the LCM of 498, 587, 812, 587?
Answer: LCM of 498, 587, 812, 587 is 118684356.
2. How to calculate the LCM of 498, 587, 812, 587?
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 498, 587, 812, 587.
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}.