LCM of 230, 763, 920, 695
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 763, 920, 695 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 230, 763, 920, 695. So, keep reading to learn more.
Given numbers are 230,763,920,695
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,763,920,695 is 97572440.
Find LCM of 230,763,920,695 with Prime Factorization
| 2 | 230, 763, 920, 695 |
| 5 | 115, 763, 460, 695 |
| 23 | 23, 763, 92, 139 |
| 1, 763, 4, 139 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 23 x 1 x 763 x 4 x 139 = 97572440
Therefore, the lowest common multiple of 230,763,920,695 is 97572440.
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.
230 x 763 x 920 x 695 = 112208306000
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.
230 : 1, 2, 5, 10, 23, 46, 115, 230
763 : 1, 7, 109, 763
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
695 : 1, 5, 139, 695
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,763,920,695, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
763:7x 109
920:2x 2x 2x 5x 23
695:5x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 23 = 1150
Therefore, the value for common factors is 1150.
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 = 112208306000/(1x1150)
LCM = 112208306000/1150
LCM = 97572440
Thus, we can understand that the LCM of 230,763,920,695 is 97572440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 230, 763, 920, 695
1. What is the LCM of 230, 763, 920, 695?
Answer: LCM of 230, 763, 920, 695 is 97572440.
2. How to calculate the LCM of 230, 763, 920, 695?
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 230, 763, 920, 695.
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}.