Find the LCM of 420, 448, 483, 565, 368 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 420, 448, 483, 565, 368. So, keep reading to learn more.
Given numbers are 420,448,483,565,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,448,483,565,368 is 17465280.
Find LCM of 420,448,483,565,368 with Prime Factorization
2 | 420, 448, 483, 565, 368 |
2 | 210, 224, 483, 565, 184 |
2 | 105, 112, 483, 565, 92 |
2 | 105, 56, 483, 565, 46 |
3 | 105, 28, 483, 565, 23 |
5 | 35, 28, 161, 565, 23 |
7 | 7, 28, 161, 113, 23 |
23 | 1, 4, 23, 113, 23 |
1, 4, 1, 113, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 7 x 23 x 1 x 4 x 1 x 113 x 1 = 17465280
Therefore, the lowest common multiple of 420,448,483,565,368 is 17465280.
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.
420 x 448 x 483 x 565 x 368 = 18896035737600
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
483 : 1, 3, 7, 21, 23, 69, 161, 483
565 : 1, 5, 113, 565
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,448,483,565,368, is 1.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
448:2x 2x 2x 2x 2x 2x 7
483:3x 7x 23
565:5x 113
368:2x 2x 2x 2x 23
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 2x 3x 5x 7x 7x 23 = 1081920
Therefore, the value for common factors is 1081920.
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 = 18896035737600/(1x1081920)
LCM = 18896035737600/1081920
LCM = 17465280
Thus, we can understand that the LCM of 420,448,483,565,368 is 17465280.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 420, 448, 483, 565, 368?
Answer: LCM of 420, 448, 483, 565, 368 is 17465280.
2. How to calculate the LCM of 420, 448, 483, 565, 368?
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 420, 448, 483, 565, 368.
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}.