LCM of 379, 448, 288, 878, 758
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 379, 448, 288, 878, 758 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 379, 448, 288, 878, 758. So, keep reading to learn more.
Given numbers are 379,448,288,878,758
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 379,448,288,878,758 is 670848192.
Find LCM of 379,448,288,878,758 with Prime Factorization
| 2 | 379, 448, 288, 878, 758 |
| 2 | 379, 224, 144, 439, 379 |
| 2 | 379, 112, 72, 439, 379 |
| 2 | 379, 56, 36, 439, 379 |
| 2 | 379, 28, 18, 439, 379 |
| 379 | 379, 14, 9, 439, 379 |
| 1, 14, 9, 439, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 379 x 1 x 14 x 9 x 439 x 1 = 670848192
Therefore, the lowest common multiple of 379,448,288,878,758 is 670848192.
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.
379 x 448 x 288 x 878 x 758 = 32544187490304
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.
379 : 1, 379
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
878 : 1, 2, 439, 878
758 : 1, 2, 379, 758
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 379,448,288,878,758, is 1.
Now, the common factors can be found like this.
379:379
448:2x 2x 2x 2x 2x 2x 7
288:2x 2x 2x 2x 2x 3x 3
878:2x 439
758:2x 379
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 2x 379 = 48512
Therefore, the value for common factors is 48512.
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 = 32544187490304/(1x48512)
LCM = 32544187490304/48512
LCM = 670848192
Thus, we can understand that the LCM of 379,448,288,878,758 is 670848192.
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FAQs on LCM of 379, 448, 288, 878, 758
1. What is the LCM of 379, 448, 288, 878, 758?
Answer: LCM of 379, 448, 288, 878, 758 is 670848192.
2. How to calculate the LCM of 379, 448, 288, 878, 758?
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 379, 448, 288, 878, 758.
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}.