LCM of 830, 110, 913, 490, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 830, 110, 913, 490, 154 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 830, 110, 913, 490, 154. So, keep reading to learn more.
Given numbers are 830,110,913,490,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 830,110,913,490,154 is 447370.
Find LCM of 830,110,913,490,154 with Prime Factorization
| 2 | 830, 110, 913, 490, 154 |
| 5 | 415, 55, 913, 245, 77 |
| 7 | 83, 11, 913, 49, 77 |
| 11 | 83, 11, 913, 7, 11 |
| 83 | 83, 1, 83, 7, 1 |
| 1, 1, 1, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 83 x 1 x 1 x 1 x 7 x 1 = 447370
Therefore, the lowest common multiple of 830,110,913,490,154 is 447370.
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.
830 x 110 x 913 x 490 x 154 = 6290111674000
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.
830 : 1, 2, 5, 10, 83, 166, 415, 830
110 : 1, 2, 5, 10, 11, 22, 55, 110
913 : 1, 11, 83, 913
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 830,110,913,490,154, is 1.
Now, the common factors can be found like this.
830:2x 5x 83
110:2x 5x 11
913:11x 83
490:2x 5x 7x 7
154:2x 7x 11
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 7x 11x 11x 83 = 14060200
Therefore, the value for common factors is 14060200.
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 = 6290111674000/(1x14060200)
LCM = 6290111674000/14060200
LCM = 447370
Thus, we can understand that the LCM of 830,110,913,490,154 is 447370.
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FAQs on LCM of 830, 110, 913, 490, 154
1. What is the LCM of 830, 110, 913, 490, 154?
Answer: LCM of 830, 110, 913, 490, 154 is 447370.
2. How to calculate the LCM of 830, 110, 913, 490, 154?
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 830, 110, 913, 490, 154.
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}.