LCM of 887, 200, 406, 700, 949
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 887, 200, 406, 700, 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 887, 200, 406, 700, 949. So, keep reading to learn more.
Given numbers are 887,200,406,700,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,200,406,700,949 is 34175577800.
Find LCM of 887,200,406,700,949 with Prime Factorization
| 2 | 887, 200, 406, 700, 949 |
| 2 | 887, 100, 203, 350, 949 |
| 5 | 887, 50, 203, 175, 949 |
| 5 | 887, 10, 203, 35, 949 |
| 7 | 887, 2, 203, 7, 949 |
| 887, 2, 29, 1, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 7 x 887 x 2 x 29 x 1 x 949 = 34175577800
Therefore, the lowest common multiple of 887,200,406,700,949 is 34175577800.
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.
887 x 200 x 406 x 700 x 949 = 47845808920000
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.
887 : 1, 887
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
406 : 1, 2, 7, 14, 29, 58, 203, 406
700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,200,406,700,949, is 1.
Now, the common factors can be found like this.
887:887
200:2x 2x 2x 5x 5
406:2x 7x 29
700:2x 2x 5x 5x 7
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 5x 5x 7 = 1400
Therefore, the value for common factors is 1400.
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 = 47845808920000/(1x1400)
LCM = 47845808920000/1400
LCM = 34175577800
Thus, we can understand that the LCM of 887,200,406,700,949 is 34175577800.
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FAQs on LCM of 887, 200, 406, 700, 949
1. What is the LCM of 887, 200, 406, 700, 949?
Answer: LCM of 887, 200, 406, 700, 949 is 34175577800.
2. How to calculate the LCM of 887, 200, 406, 700, 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 887, 200, 406, 700, 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}.