LCM of 357, 345, 221, 142, 416
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 345, 221, 142, 416 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, 345, 221, 142, 416. So, keep reading to learn more.
Given numbers are 357,345,221,142,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,345,221,142,416 is 1212600480.
Find LCM of 357,345,221,142,416 with Prime Factorization
| 2 | 357, 345, 221, 142, 416 |
| 3 | 357, 345, 221, 71, 208 |
| 13 | 119, 115, 221, 71, 208 |
| 17 | 119, 115, 17, 71, 16 |
| 7, 115, 1, 71, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 7 x 115 x 1 x 71 x 16 = 1212600480
Therefore, the lowest common multiple of 357,345,221,142,416 is 1212600480.
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 345 x 221 x 142 x 416 = 1607908236480
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
345 : 1, 3, 5, 15, 23, 69, 115, 345
221 : 1, 13, 17, 221
142 : 1, 2, 71, 142
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,345,221,142,416, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
345:3x 5x 23
221:13x 17
142:2x 71
416:2x 2x 2x 2x 2x 13
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 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 1607908236480/(1x1326)
LCM = 1607908236480/1326
LCM = 1212600480
Thus, we can understand that the LCM of 357,345,221,142,416 is 1212600480.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 357, 345, 221, 142, 416
1. What is the LCM of 357, 345, 221, 142, 416?
Answer: LCM of 357, 345, 221, 142, 416 is 1212600480.
2. How to calculate the LCM of 357, 345, 221, 142, 416?
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, 345, 221, 142, 416.
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}.