LCM of 498, 278, 627, 616, 513
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 278, 627, 616, 513 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, 278, 627, 616, 513. So, keep reading to learn more.
Given numbers are 498,278,627,616,513
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,278,627,616,513 is 3645784296.
Find LCM of 498,278,627,616,513 with Prime Factorization
| 2 | 498, 278, 627, 616, 513 |
| 3 | 249, 139, 627, 308, 513 |
| 11 | 83, 139, 209, 308, 171 |
| 19 | 83, 139, 19, 28, 171 |
| 83, 139, 1, 28, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 19 x 83 x 139 x 1 x 28 x 9 = 3645784296
Therefore, the lowest common multiple of 498,278,627,616,513 is 3645784296.
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 278 x 627 x 616 x 513 = 27430881043104
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
278 : 1, 2, 139, 278
627 : 1, 3, 11, 19, 33, 57, 209, 627
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
513 : 1, 3, 9, 19, 27, 57, 171, 513
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,278,627,616,513, is 1.
Now, the common factors can be found like this.
498:2x 3x 83
278:2x 139
627:3x 11x 19
616:2x 2x 2x 7x 11
513:3x 3x 3x 19
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 3x 3x 11x 19 = 7524
Therefore, the value for common factors is 7524.
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 = 27430881043104/(1x7524)
LCM = 27430881043104/7524
LCM = 3645784296
Thus, we can understand that the LCM of 498,278,627,616,513 is 3645784296.
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FAQs on LCM of 498, 278, 627, 616, 513
1. What is the LCM of 498, 278, 627, 616, 513?
Answer: LCM of 498, 278, 627, 616, 513 is 3645784296.
2. How to calculate the LCM of 498, 278, 627, 616, 513?
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, 278, 627, 616, 513.
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}.