LCM of 298, 260, 409, 532, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 298, 260, 409, 532, 385 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 298, 260, 409, 532, 385. So, keep reading to learn more.
Given numbers are 298,260,409,532,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 298,260,409,532,385 is 23180737580.
Find LCM of 298,260,409,532,385 with Prime Factorization
| 2 | 298, 260, 409, 532, 385 |
| 2 | 149, 130, 409, 266, 385 |
| 5 | 149, 65, 409, 133, 385 |
| 7 | 149, 13, 409, 133, 77 |
| 149, 13, 409, 19, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 149 x 13 x 409 x 19 x 11 = 23180737580
Therefore, the lowest common multiple of 298,260,409,532,385 is 23180737580.
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.
298 x 260 x 409 x 532 x 385 = 6490606522400
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.
298 : 1, 2, 149, 298
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
409 : 1, 409
532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 298,260,409,532,385, is 1.
Now, the common factors can be found like this.
298:2x 149
260:2x 2x 5x 13
409:409
532:2x 2x 7x 19
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 5x 7 = 280
Therefore, the value for common factors is 280.
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 = 6490606522400/(1x280)
LCM = 6490606522400/280
LCM = 23180737580
Thus, we can understand that the LCM of 298,260,409,532,385 is 23180737580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 298, 260, 409, 532, 385
1. What is the LCM of 298, 260, 409, 532, 385?
Answer: LCM of 298, 260, 409, 532, 385 is 23180737580.
2. How to calculate the LCM of 298, 260, 409, 532, 385?
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 298, 260, 409, 532, 385.
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}.