LCM of 695, 280, 110, 830, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 695, 280, 110, 830, 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 695, 280, 110, 830, 154. So, keep reading to learn more.
Given numbers are 695,280,110,830,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 695,280,110,830,154 is 35533960.
Find LCM of 695,280,110,830,154 with Prime Factorization
| 2 | 695, 280, 110, 830, 154 |
| 5 | 695, 140, 55, 415, 77 |
| 7 | 139, 28, 11, 83, 77 |
| 11 | 139, 4, 11, 83, 11 |
| 139, 4, 1, 83, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 139 x 4 x 1 x 83 x 1 = 35533960
Therefore, the lowest common multiple of 695,280,110,830,154 is 35533960.
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.
695 x 280 x 110 x 830 x 154 = 2736114920000
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.
695 : 1, 5, 139, 695
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
110 : 1, 2, 5, 10, 11, 22, 55, 110
830 : 1, 2, 5, 10, 83, 166, 415, 830
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 695,280,110,830,154, is 1.
Now, the common factors can be found like this.
695:5x 139
280:2x 2x 2x 5x 7
110:2x 5x 11
830:2x 5x 83
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 5x 7x 11 = 77000
Therefore, the value for common factors is 77000.
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 = 2736114920000/(1x77000)
LCM = 2736114920000/77000
LCM = 35533960
Thus, we can understand that the LCM of 695,280,110,830,154 is 35533960.
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FAQs on LCM of 695, 280, 110, 830, 154
1. What is the LCM of 695, 280, 110, 830, 154?
Answer: LCM of 695, 280, 110, 830, 154 is 35533960.
2. How to calculate the LCM of 695, 280, 110, 830, 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 695, 280, 110, 830, 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}.