Find the LCM of 318, 442, 610, 721, 802 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 318, 442, 610, 721, 802. So, keep reading to learn more.
Given numbers are 318,442,610,721,802
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 318,442,610,721,802 is 6197247919590.
Find LCM of 318,442,610,721,802 with Prime Factorization
2 | 318, 442, 610, 721, 802 |
159, 221, 305, 721, 401 |
Multiply the prime numbers at the bottom and the left side.
2 x 159 x 221 x 305 x 721 x 401 = 6197247919590
Therefore, the lowest common multiple of 318,442,610,721,802 is 6197247919590.
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.
318 x 442 x 610 x 721 x 802 = 49577983356720
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.
318 : 1, 2, 3, 6, 53, 106, 159, 318
442 : 1, 2, 13, 17, 26, 34, 221, 442
610 : 1, 2, 5, 10, 61, 122, 305, 610
721 : 1, 7, 103, 721
802 : 1, 2, 401, 802
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 318,442,610,721,802, is 1.
Now, the common factors can be found like this.
318:2x 3x 53
442:2x 13x 17
610:2x 5x 61
721:7x 103
802:2x 401
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 2 = 8
Therefore, the value for common factors is 8.
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 = 49577983356720/(1x8)
LCM = 49577983356720/8
LCM = 6197247919590
Thus, we can understand that the LCM of 318,442,610,721,802 is 6197247919590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 318, 442, 610, 721, 802?
Answer: LCM of 318, 442, 610, 721, 802 is 6197247919590.
2. How to calculate the LCM of 318, 442, 610, 721, 802?
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 318, 442, 610, 721, 802.
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}.