LCM of 230, 965, 318, 615, 530
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 230, 965, 318, 615, 530 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, 965, 318, 615, 530. So, keep reading to learn more.
Given numbers are 230,965,318,615,530
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 230,965,318,615,530 is 289378410.
Find LCM of 230,965,318,615,530 with Prime Factorization
| 2 | 230, 965, 318, 615, 530 |
| 3 | 115, 965, 159, 615, 265 |
| 5 | 115, 965, 53, 205, 265 |
| 53 | 23, 193, 53, 41, 53 |
| 23, 193, 1, 41, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 53 x 23 x 193 x 1 x 41 x 1 = 289378410
Therefore, the lowest common multiple of 230,965,318,615,530 is 289378410.
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 965 x 318 x 615 x 530 = 23005583595000
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
965 : 1, 5, 193, 965
318 : 1, 2, 3, 6, 53, 106, 159, 318
615 : 1, 3, 5, 15, 41, 123, 205, 615
530 : 1, 2, 5, 10, 53, 106, 265, 530
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 230,965,318,615,530, is 1.
Now, the common factors can be found like this.
230:2x 5x 23
965:5x 193
318:2x 3x 53
615:3x 5x 41
530:2x 5x 53
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 3x 5x 5x 5x 53 = 79500
Therefore, the value for common factors is 79500.
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 = 23005583595000/(1x79500)
LCM = 23005583595000/79500
LCM = 289378410
Thus, we can understand that the LCM of 230,965,318,615,530 is 289378410.
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FAQs on LCM of 230, 965, 318, 615, 530
1. What is the LCM of 230, 965, 318, 615, 530?
Answer: LCM of 230, 965, 318, 615, 530 is 289378410.
2. How to calculate the LCM of 230, 965, 318, 615, 530?
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, 965, 318, 615, 530.
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}.