LCM of 758, 200, 752, 105, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 758, 200, 752, 105, 312 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 758, 200, 752, 105, 312. So, keep reading to learn more.
Given numbers are 758,200,752,105,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 758,200,752,105,312 is 1945179600.
Find LCM of 758,200,752,105,312 with Prime Factorization
| 2 | 758, 200, 752, 105, 312 |
| 2 | 379, 100, 376, 105, 156 |
| 2 | 379, 50, 188, 105, 78 |
| 3 | 379, 25, 94, 105, 39 |
| 5 | 379, 25, 94, 35, 13 |
| 379, 5, 94, 7, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 379 x 5 x 94 x 7 x 13 = 1945179600
Therefore, the lowest common multiple of 758,200,752,105,312 is 1945179600.
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.
758 x 200 x 752 x 105 x 312 = 3734744832000
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.
758 : 1, 2, 379, 758
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
105 : 1, 3, 5, 7, 15, 21, 35, 105
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,200,752,105,312, is 1.
Now, the common factors can be found like this.
758:2x 379
200:2x 2x 2x 5x 5
752:2x 2x 2x 2x 47
105:3x 5x 7
312:2x 2x 2x 3x 13
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 3x 5 = 1920
Therefore, the value for common factors is 1920.
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 = 3734744832000/(1x1920)
LCM = 3734744832000/1920
LCM = 1945179600
Thus, we can understand that the LCM of 758,200,752,105,312 is 1945179600.
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FAQs on LCM of 758, 200, 752, 105, 312
1. What is the LCM of 758, 200, 752, 105, 312?
Answer: LCM of 758, 200, 752, 105, 312 is 1945179600.
2. How to calculate the LCM of 758, 200, 752, 105, 312?
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 758, 200, 752, 105, 312.
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}.