LCM of 357, 169, 442, 803
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 357, 169, 442, 803 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, 169, 442, 803. So, keep reading to learn more.
Given numbers are 357,169,442,803
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,169,442,803 is 96894798.
Find LCM of 357,169,442,803 with Prime Factorization
| 13 | 357, 169, 442, 803 |
| 17 | 357, 13, 34, 803 |
| 21, 13, 2, 803 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 21 x 13 x 2 x 803 = 96894798
Therefore, the lowest common multiple of 357,169,442,803 is 96894798.
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 169 x 442 x 803 = 21413750358
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
169 : 1, 13, 169
442 : 1, 2, 13, 17, 26, 34, 221, 442
803 : 1, 11, 73, 803
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,169,442,803, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
169:13x 13
442:2x 13x 17
803:11x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 21413750358/(1x221)
LCM = 21413750358/221
LCM = 96894798
Thus, we can understand that the LCM of 357,169,442,803 is 96894798.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 357, 169, 442, 803
1. What is the LCM of 357, 169, 442, 803?
Answer: LCM of 357, 169, 442, 803 is 96894798.
2. How to calculate the LCM of 357, 169, 442, 803?
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, 169, 442, 803.
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}.