LCM of 154, 237, 829, 258, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 154, 237, 829, 258, 506 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 154, 237, 829, 258, 506. So, keep reading to learn more.
Given numbers are 154,237,829,258,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,237,829,258,506 is 29924016738.
Find LCM of 154,237,829,258,506 with Prime Factorization
| 2 | 154, 237, 829, 258, 506 |
| 3 | 77, 237, 829, 129, 253 |
| 11 | 77, 79, 829, 43, 253 |
| 7, 79, 829, 43, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 7 x 79 x 829 x 43 x 23 = 29924016738
Therefore, the lowest common multiple of 154,237,829,258,506 is 29924016738.
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.
154 x 237 x 829 x 258 x 506 = 3949970209416
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
237 : 1, 3, 79, 237
829 : 1, 829
258 : 1, 2, 3, 6, 43, 86, 129, 258
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,237,829,258,506, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
237:3x 79
829:829
258:2x 3x 43
506:2x 11x 23
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 11 = 132
Therefore, the value for common factors is 132.
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 = 3949970209416/(1x132)
LCM = 3949970209416/132
LCM = 29924016738
Thus, we can understand that the LCM of 154,237,829,258,506 is 29924016738.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 154, 237, 829, 258, 506
1. What is the LCM of 154, 237, 829, 258, 506?
Answer: LCM of 154, 237, 829, 258, 506 is 29924016738.
2. How to calculate the LCM of 154, 237, 829, 258, 506?
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 154, 237, 829, 258, 506.
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}.