LCM of 376, 950, 684, 323, 456
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 376, 950, 684, 323, 456 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 376, 950, 684, 323, 456. So, keep reading to learn more.
Given numbers are 376,950,684,323,456
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,950,684,323,456 is 27325800.
Find LCM of 376,950,684,323,456 with Prime Factorization
| 2 | 376, 950, 684, 323, 456 |
| 2 | 188, 475, 342, 323, 228 |
| 2 | 94, 475, 171, 323, 114 |
| 3 | 47, 475, 171, 323, 57 |
| 19 | 47, 475, 19, 323, 57 |
| 47, 25, 1, 17, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 19 x 47 x 25 x 1 x 17 x 3 = 27325800
Therefore, the lowest common multiple of 376,950,684,323,456 is 27325800.
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.
376 x 950 x 684 x 323 x 456 = 35986111142400
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
950 : 1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
323 : 1, 17, 19, 323
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,950,684,323,456, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
950:2x 5x 5x 19
684:2x 2x 3x 3x 19
323:17x 19
456:2x 2x 2x 3x 19
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 19x 19x 19 = 1316928
Therefore, the value for common factors is 1316928.
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 = 35986111142400/(1x1316928)
LCM = 35986111142400/1316928
LCM = 27325800
Thus, we can understand that the LCM of 376,950,684,323,456 is 27325800.
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FAQs on LCM of 376, 950, 684, 323, 456
1. What is the LCM of 376, 950, 684, 323, 456?
Answer: LCM of 376, 950, 684, 323, 456 is 27325800.
2. How to calculate the LCM of 376, 950, 684, 323, 456?
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 376, 950, 684, 323, 456.
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}.