Find the LCM of 650, 926, 298, 280, 469 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 650, 926, 298, 280, 469. So, keep reading to learn more.
Given numbers are 650,926,298,280,469
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 650,926,298,280,469 is 84122747800.
Find LCM of 650,926,298,280,469 with Prime Factorization
2 | 650, 926, 298, 280, 469 |
5 | 325, 463, 149, 140, 469 |
7 | 65, 463, 149, 28, 469 |
65, 463, 149, 4, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 65 x 463 x 149 x 4 x 67 = 84122747800
Therefore, the lowest common multiple of 650,926,298,280,469 is 84122747800.
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.
650 x 926 x 298 x 280 x 469 = 23554369384000
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.
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
926 : 1, 2, 463, 926
298 : 1, 2, 149, 298
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
469 : 1, 7, 67, 469
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 650,926,298,280,469, is 1.
Now, the common factors can be found like this.
650:2x 5x 5x 13
926:2x 463
298:2x 149
280:2x 2x 2x 5x 7
469:7x 67
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 = 23554369384000/(1x280)
LCM = 23554369384000/280
LCM = 84122747800
Thus, we can understand that the LCM of 650,926,298,280,469 is 84122747800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 650, 926, 298, 280, 469?
Answer: LCM of 650, 926, 298, 280, 469 is 84122747800.
2. How to calculate the LCM of 650, 926, 298, 280, 469?
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 650, 926, 298, 280, 469.
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}.