LCM of 234, 802, 339, 533, 615
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 234, 802, 339, 533, 615 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 234, 802, 339, 533, 615. So, keep reading to learn more.
Given numbers are 234,802,339,533,615
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,802,339,533,615 is 2173664610.
Find LCM of 234,802,339,533,615 with Prime Factorization
| 2 | 234, 802, 339, 533, 615 |
| 3 | 117, 401, 339, 533, 615 |
| 13 | 39, 401, 113, 533, 205 |
| 41 | 3, 401, 113, 41, 205 |
| 3, 401, 113, 1, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 41 x 3 x 401 x 113 x 1 x 5 = 2173664610
Therefore, the lowest common multiple of 234,802,339,533,615 is 2173664610.
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.
234 x 802 x 339 x 533 x 615 = 20854138268340
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
802 : 1, 2, 401, 802
339 : 1, 3, 113, 339
533 : 1, 13, 41, 533
615 : 1, 3, 5, 15, 41, 123, 205, 615
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,802,339,533,615, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
802:2x 401
339:3x 113
533:13x 41
615:3x 5x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 13x 41 = 9594
Therefore, the value for common factors is 9594.
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 = 20854138268340/(1x9594)
LCM = 20854138268340/9594
LCM = 2173664610
Thus, we can understand that the LCM of 234,802,339,533,615 is 2173664610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 234, 802, 339, 533, 615
1. What is the LCM of 234, 802, 339, 533, 615?
Answer: LCM of 234, 802, 339, 533, 615 is 2173664610.
2. How to calculate the LCM of 234, 802, 339, 533, 615?
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 234, 802, 339, 533, 615.
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}.