LCM of 383, 314, 440, 286, 672
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 383, 314, 440, 286, 672 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 383, 314, 440, 286, 672. So, keep reading to learn more.
Given numbers are 383,314,440,286,672
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 383,314,440,286,672 is 28891742880.
Find LCM of 383,314,440,286,672 with Prime Factorization
| 2 | 383, 314, 440, 286, 672 |
| 2 | 383, 157, 220, 143, 336 |
| 2 | 383, 157, 110, 143, 168 |
| 11 | 383, 157, 55, 143, 84 |
| 383, 157, 5, 13, 84 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 383 x 157 x 5 x 13 x 84 = 28891742880
Therefore, the lowest common multiple of 383,314,440,286,672 is 28891742880.
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.
383 x 314 x 440 x 286 x 672 = 10169893493760
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.
383 : 1, 383
314 : 1, 2, 157, 314
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
286 : 1, 2, 11, 13, 22, 26, 143, 286
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 383,314,440,286,672, is 1.
Now, the common factors can be found like this.
383:383
314:2x 157
440:2x 2x 2x 5x 11
286:2x 11x 13
672:2x 2x 2x 2x 2x 3x 7
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 11 = 352
Therefore, the value for common factors is 352.
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 = 10169893493760/(1x352)
LCM = 10169893493760/352
LCM = 28891742880
Thus, we can understand that the LCM of 383,314,440,286,672 is 28891742880.
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FAQs on LCM of 383, 314, 440, 286, 672
1. What is the LCM of 383, 314, 440, 286, 672?
Answer: LCM of 383, 314, 440, 286, 672 is 28891742880.
2. How to calculate the LCM of 383, 314, 440, 286, 672?
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 383, 314, 440, 286, 672.
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}.