LCM of 557, 423, 537, 301
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 557, 423, 537, 301 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 557, 423, 537, 301. So, keep reading to learn more.
Given numbers are 557,423,537,301
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 557,423,537,301 is 12694485069.
Find LCM of 557,423,537,301 with Prime Factorization
| 3 | 557, 423, 537, 301 |
| 557, 141, 179, 301 |
Multiply the prime numbers at the bottom and the left side.
3 x 557 x 141 x 179 x 301 = 12694485069
Therefore, the lowest common multiple of 557,423,537,301 is 12694485069.
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.
557 x 423 x 537 x 301 = 38083455207
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.
557 : 1, 557
423 : 1, 3, 9, 47, 141, 423
537 : 1, 3, 179, 537
301 : 1, 7, 43, 301
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 557,423,537,301, is 1.
Now, the common factors can be found like this.
557:557
423:3x 3x 47
537:3x 179
301:7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 38083455207/(1x3)
LCM = 38083455207/3
LCM = 12694485069
Thus, we can understand that the LCM of 557,423,537,301 is 12694485069.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 557, 423, 537, 301
1. What is the LCM of 557, 423, 537, 301?
Answer: LCM of 557, 423, 537, 301 is 12694485069.
2. How to calculate the LCM of 557, 423, 537, 301?
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 557, 423, 537, 301.
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}.