LCM of 357, 338, 772, 476, 191
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 338, 772, 476, 191 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 357, 338, 772, 476, 191. So, keep reading to learn more.
Given numbers are 357,338,772,476,191
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,338,772,476,191 is 8896221516.
Find LCM of 357,338,772,476,191 with Prime Factorization
| 2 | 357, 338, 772, 476, 191 |
| 2 | 357, 169, 386, 238, 191 |
| 7 | 357, 169, 193, 119, 191 |
| 17 | 51, 169, 193, 17, 191 |
| 3, 169, 193, 1, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 17 x 3 x 169 x 193 x 1 x 191 = 8896221516
Therefore, the lowest common multiple of 357,338,772,476,191 is 8896221516.
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.
357 x 338 x 772 x 476 x 191 = 8469202883232
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
338 : 1, 2, 13, 26, 169, 338
772 : 1, 2, 4, 193, 386, 772
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
191 : 1, 191
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,338,772,476,191, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
338:2x 13x 13
772:2x 2x 193
476:2x 2x 7x 17
191:191
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 7x 17 = 952
Therefore, the value for common factors is 952.
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 = 8469202883232/(1x952)
LCM = 8469202883232/952
LCM = 8896221516
Thus, we can understand that the LCM of 357,338,772,476,191 is 8896221516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 357, 338, 772, 476, 191
1. What is the LCM of 357, 338, 772, 476, 191?
Answer: LCM of 357, 338, 772, 476, 191 is 8896221516.
2. How to calculate the LCM of 357, 338, 772, 476, 191?
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 357, 338, 772, 476, 191.
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}.