LCM of 357, 697, 882, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 697, 882, 441 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, 697, 882, 441. So, keep reading to learn more.
Given numbers are 357,697,882,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,697,882,441 is 614754.
Find LCM of 357,697,882,441 with Prime Factorization
| 3 | 357, 697, 882, 441 |
| 3 | 119, 697, 294, 147 |
| 7 | 119, 697, 98, 49 |
| 7 | 17, 697, 14, 7 |
| 17 | 17, 697, 2, 1 |
| 1, 41, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 7 x 7 x 17 x 1 x 41 x 2 x 1 = 614754
Therefore, the lowest common multiple of 357,697,882,441 is 614754.
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 697 x 882 x 441 = 96785025498
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
697 : 1, 17, 41, 697
882 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,697,882,441, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
697:17x 41
882:2x 3x 3x 7x 7
441:3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 7x 7x 7x 17 = 157437
Therefore, the value for common factors is 157437.
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 = 96785025498/(1x157437)
LCM = 96785025498/157437
LCM = 614754
Thus, we can understand that the LCM of 357,697,882,441 is 614754.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 357, 697, 882, 441
1. What is the LCM of 357, 697, 882, 441?
Answer: LCM of 357, 697, 882, 441 is 614754.
2. How to calculate the LCM of 357, 697, 882, 441?
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, 697, 882, 441.
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}.