LCM of 352, 550, 125, 768, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 550, 125, 768, 949 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 352, 550, 125, 768, 949. So, keep reading to learn more.
Given numbers are 352,550,125,768,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,550,125,768,949 is 1002144000.
Find LCM of 352,550,125,768,949 with Prime Factorization
| 2 | 352, 550, 125, 768, 949 |
| 2 | 176, 275, 125, 384, 949 |
| 2 | 88, 275, 125, 192, 949 |
| 2 | 44, 275, 125, 96, 949 |
| 2 | 22, 275, 125, 48, 949 |
| 5 | 11, 275, 125, 24, 949 |
| 5 | 11, 55, 25, 24, 949 |
| 11 | 11, 11, 5, 24, 949 |
| 1, 1, 5, 24, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 5 x 11 x 1 x 1 x 5 x 24 x 949 = 1002144000
Therefore, the lowest common multiple of 352,550,125,768,949 is 1002144000.
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.
352 x 550 x 125 x 768 x 949 = 17637734400000
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
125 : 1, 5, 25, 125
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,550,125,768,949, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
550:2x 5x 5x 11
125:5x 5x 5
768:2x 2x 2x 2x 2x 2x 2x 2x 3
949:13x 73
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 5x 5x 11 = 17600
Therefore, the value for common factors is 17600.
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 = 17637734400000/(1x17600)
LCM = 17637734400000/17600
LCM = 1002144000
Thus, we can understand that the LCM of 352,550,125,768,949 is 1002144000.
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FAQs on LCM of 352, 550, 125, 768, 949
1. What is the LCM of 352, 550, 125, 768, 949?
Answer: LCM of 352, 550, 125, 768, 949 is 1002144000.
2. How to calculate the LCM of 352, 550, 125, 768, 949?
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 352, 550, 125, 768, 949.
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}.