LCM of 884, 542, 506, 448, 990
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 542, 506, 448, 990 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 884, 542, 506, 448, 990. So, keep reading to learn more.
Given numbers are 884,542,506,448,990
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,542,506,448,990 is 305472847680.
Find LCM of 884,542,506,448,990 with Prime Factorization
| 2 | 884, 542, 506, 448, 990 |
| 2 | 442, 271, 253, 224, 495 |
| 11 | 221, 271, 253, 112, 495 |
| 221, 271, 23, 112, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 221 x 271 x 23 x 112 x 45 = 305472847680
Therefore, the lowest common multiple of 884,542,506,448,990 is 305472847680.
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.
884 x 542 x 506 x 448 x 990 = 107526442383360
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
542 : 1, 2, 271, 542
506 : 1, 2, 11, 22, 23, 46, 253, 506
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,542,506,448,990, is 2.
Now, the common factors can be found like this.
884:2x 2x 13x 17
542:2x 271
506:2x 11x 23
448:2x 2x 2x 2x 2x 2x 7
990:2x 3x 3x 5x 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 11 = 176
Therefore, the value for common factors is 176.
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 = 107526442383360/(2x176)
LCM = 107526442383360/352
LCM = 305472847680
Thus, we can understand that the LCM of 884,542,506,448,990 is 305472847680.
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FAQs on LCM of 884, 542, 506, 448, 990
1. What is the LCM of 884, 542, 506, 448, 990?
Answer: LCM of 884, 542, 506, 448, 990 is 305472847680.
2. How to calculate the LCM of 884, 542, 506, 448, 990?
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 884, 542, 506, 448, 990.
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}.