Find the LCM of 354, 448, 342, 423, 476 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 354, 448, 342, 423, 476. So, keep reading to learn more.
Given numbers are 354,448,342,423,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 354,448,342,423,476 is 3611377728.
Find LCM of 354,448,342,423,476 with Prime Factorization
2 | 354, 448, 342, 423, 476 |
2 | 177, 224, 171, 423, 238 |
3 | 177, 112, 171, 423, 119 |
3 | 59, 112, 57, 141, 119 |
7 | 59, 112, 19, 47, 119 |
59, 16, 19, 47, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 59 x 16 x 19 x 47 x 17 = 3611377728
Therefore, the lowest common multiple of 354,448,342,423,476 is 3611377728.
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.
354 x 448 x 342 x 423 x 476 = 10920806249472
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.
354 : 1, 2, 3, 6, 59, 118, 177, 354
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342
423 : 1, 3, 9, 47, 141, 423
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 354,448,342,423,476, is 1.
Now, the common factors can be found like this.
354:2x 3x 59
448:2x 2x 2x 2x 2x 2x 7
342:2x 3x 3x 19
423:3x 3x 47
476:2x 2x 7x 17
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 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 10920806249472/(1x3024)
LCM = 10920806249472/3024
LCM = 3611377728
Thus, we can understand that the LCM of 354,448,342,423,476 is 3611377728.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 354, 448, 342, 423, 476?
Answer: LCM of 354, 448, 342, 423, 476 is 3611377728.
2. How to calculate the LCM of 354, 448, 342, 423, 476?
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 354, 448, 342, 423, 476.
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}.