Find the LCM of 802, 782, 143, 813, 552 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 802, 782, 143, 813, 552. So, keep reading to learn more.
Given numbers are 802,782,143,813,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 802,782,143,813,552 is 145826918952.
Find LCM of 802,782,143,813,552 with Prime Factorization
2 | 802, 782, 143, 813, 552 |
3 | 401, 391, 143, 813, 276 |
23 | 401, 391, 143, 271, 92 |
401, 17, 143, 271, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 23 x 401 x 17 x 143 x 271 x 4 = 145826918952
Therefore, the lowest common multiple of 802,782,143,813,552 is 145826918952.
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.
802 x 782 x 143 x 813 x 552 = 40248229630752
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.
802 : 1, 2, 401, 802
782 : 1, 2, 17, 23, 34, 46, 391, 782
143 : 1, 11, 13, 143
813 : 1, 3, 271, 813
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 802,782,143,813,552, is 1.
Now, the common factors can be found like this.
802:2x 401
782:2x 17x 23
143:11x 13
813:3x 271
552:2x 2x 2x 3x 23
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 3x 23 = 276
Therefore, the value for common factors is 276.
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 = 40248229630752/(1x276)
LCM = 40248229630752/276
LCM = 145826918952
Thus, we can understand that the LCM of 802,782,143,813,552 is 145826918952.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 802, 782, 143, 813, 552?
Answer: LCM of 802, 782, 143, 813, 552 is 145826918952.
2. How to calculate the LCM of 802, 782, 143, 813, 552?
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 802, 782, 143, 813, 552.
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}.