LCM of 293, 581, 884, 911, 442
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 293, 581, 884, 911, 442 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 293, 581, 884, 911, 442. So, keep reading to learn more.
Given numbers are 293,581,884,911,442
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 293,581,884,911,442 is 137092720492.
Find LCM of 293,581,884,911,442 with Prime Factorization
| 2 | 293, 581, 884, 911, 442 |
| 13 | 293, 581, 442, 911, 221 |
| 17 | 293, 581, 34, 911, 17 |
| 293, 581, 2, 911, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 293 x 581 x 2 x 911 x 1 = 137092720492
Therefore, the lowest common multiple of 293,581,884,911,442 is 137092720492.
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.
293 x 581 x 884 x 911 x 442 = 60594982457464
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.
293 : 1, 293
581 : 1, 7, 83, 581
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
911 : 1, 911
442 : 1, 2, 13, 17, 26, 34, 221, 442
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 293,581,884,911,442, is 1.
Now, the common factors can be found like this.
293:293
581:7x 83
884:2x 2x 13x 17
911:911
442:2x 13x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 60594982457464/(1x442)
LCM = 60594982457464/442
LCM = 137092720492
Thus, we can understand that the LCM of 293,581,884,911,442 is 137092720492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 293, 581, 884, 911, 442
1. What is the LCM of 293, 581, 884, 911, 442?
Answer: LCM of 293, 581, 884, 911, 442 is 137092720492.
2. How to calculate the LCM of 293, 581, 884, 911, 442?
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 293, 581, 884, 911, 442.
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}.