LCM of 358, 348, 551, 957
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 358, 348, 551, 957 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 358, 348, 551, 957. So, keep reading to learn more.
Given numbers are 358,348,551,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 358,348,551,957 is 13019028.
Find LCM of 358,348,551,957 with Prime Factorization
| 2 | 358, 348, 551, 957 |
| 3 | 179, 174, 551, 957 |
| 29 | 179, 58, 551, 319 |
| 179, 2, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 29 x 179 x 2 x 19 x 11 = 13019028
Therefore, the lowest common multiple of 358,348,551,957 is 13019028.
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.
358 x 348 x 551 x 957 = 65694015288
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.
358 : 1, 2, 179, 358
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
551 : 1, 19, 29, 551
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 358,348,551,957, is 1.
Now, the common factors can be found like this.
358:2x 179
348:2x 2x 3x 29
551:19x 29
957:3x 11x 29
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 29x 29 = 5046
Therefore, the value for common factors is 5046.
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 = 65694015288/(1x5046)
LCM = 65694015288/5046
LCM = 13019028
Thus, we can understand that the LCM of 358,348,551,957 is 13019028.
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FAQs on LCM of 358, 348, 551, 957
1. What is the LCM of 358, 348, 551, 957?
Answer: LCM of 358, 348, 551, 957 is 13019028.
2. How to calculate the LCM of 358, 348, 551, 957?
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 358, 348, 551, 957.
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}.