Find the LCM of 473, 797, 640, 836, 724 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 473, 797, 640, 836, 724. So, keep reading to learn more.
Given numbers are 473,797,640,836,724
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 473,797,640,836,724 is 829720101760.
Find LCM of 473,797,640,836,724 with Prime Factorization
2 | 473, 797, 640, 836, 724 |
2 | 473, 797, 320, 418, 362 |
11 | 473, 797, 160, 209, 181 |
43, 797, 160, 19, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 43 x 797 x 160 x 19 x 181 = 829720101760
Therefore, the lowest common multiple of 473,797,640,836,724 is 829720101760.
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.
473 x 797 x 640 x 836 x 724 = 146030737909760
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.
473 : 1, 11, 43, 473
797 : 1, 797
640 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
724 : 1, 2, 4, 181, 362, 724
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 473,797,640,836,724, is 1.
Now, the common factors can be found like this.
473:11x 43
797:797
640:2x 2x 2x 2x 2x 2x 2x 5
836:2x 2x 11x 19
724:2x 2x 181
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 11 = 176
Therefore, the value for common factors is 176.
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 = 146030737909760/(1x176)
LCM = 146030737909760/176
LCM = 829720101760
Thus, we can understand that the LCM of 473,797,640,836,724 is 829720101760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 473, 797, 640, 836, 724?
Answer: LCM of 473, 797, 640, 836, 724 is 829720101760.
2. How to calculate the LCM of 473, 797, 640, 836, 724?
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 473, 797, 640, 836, 724.
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}.