Find the LCM of 260, 298, 409, 822, 300 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 260, 298, 409, 822, 300. So, keep reading to learn more.
Given numbers are 260,298,409,822,300
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,298,409,822,300 is 32560776300.
Find LCM of 260,298,409,822,300 with Prime Factorization
2 | 260, 298, 409, 822, 300 |
2 | 130, 149, 409, 411, 150 |
3 | 65, 149, 409, 411, 75 |
5 | 65, 149, 409, 137, 25 |
13, 149, 409, 137, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 149 x 409 x 137 x 5 = 32560776300
Therefore, the lowest common multiple of 260,298,409,822,300 is 32560776300.
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.
260 x 298 x 409 x 822 x 300 = 7814586312000
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
298 : 1, 2, 149, 298
409 : 1, 409
822 : 1, 2, 3, 6, 137, 274, 411, 822
300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,298,409,822,300, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
298:2x 149
409:409
822:2x 3x 137
300:2x 2x 3x 5x 5
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 2x 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 7814586312000/(1x240)
LCM = 7814586312000/240
LCM = 32560776300
Thus, we can understand that the LCM of 260,298,409,822,300 is 32560776300.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 260, 298, 409, 822, 300?
Answer: LCM of 260, 298, 409, 822, 300 is 32560776300.
2. How to calculate the LCM of 260, 298, 409, 822, 300?
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 260, 298, 409, 822, 300.
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}.