LCM of 973, 258, 478, 258, 358
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 973, 258, 478, 258, 358 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 973, 258, 478, 258, 358. So, keep reading to learn more.
Given numbers are 973,258,478,258,358
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 973,258,478,258,358 is 10739485554.
Find LCM of 973,258,478,258,358 with Prime Factorization
| 2 | 973, 258, 478, 258, 358 |
| 3 | 973, 129, 239, 129, 179 |
| 43 | 973, 43, 239, 43, 179 |
| 973, 1, 239, 1, 179 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 973 x 1 x 239 x 1 x 179 = 10739485554
Therefore, the lowest common multiple of 973,258,478,258,358 is 10739485554.
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.
973 x 258 x 478 x 258 x 358 = 11083149091728
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.
973 : 1, 7, 139, 973
258 : 1, 2, 3, 6, 43, 86, 129, 258
478 : 1, 2, 239, 478
258 : 1, 2, 3, 6, 43, 86, 129, 258
358 : 1, 2, 179, 358
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 973,258,478,258,358, is 1.
Now, the common factors can be found like this.
973:7x 139
258:2x 3x 43
478:2x 239
258:2x 3x 43
358:2x 179
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 3x 43 = 1032
Therefore, the value for common factors is 1032.
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 = 11083149091728/(1x1032)
LCM = 11083149091728/1032
LCM = 10739485554
Thus, we can understand that the LCM of 973,258,478,258,358 is 10739485554.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 973, 258, 478, 258, 358
1. What is the LCM of 973, 258, 478, 258, 358?
Answer: LCM of 973, 258, 478, 258, 358 is 10739485554.
2. How to calculate the LCM of 973, 258, 478, 258, 358?
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 973, 258, 478, 258, 358.
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}.