Find the LCM of 411, 704, 916, 274, 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 411, 704, 916, 274, 552. So, keep reading to learn more.
Given numbers are 411,704,916,274,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 411,704,916,274,552 is 1523974848.
Find LCM of 411,704,916,274,552 with Prime Factorization
2 | 411, 704, 916, 274, 552 |
2 | 411, 352, 458, 137, 276 |
2 | 411, 176, 229, 137, 138 |
3 | 411, 88, 229, 137, 69 |
137 | 137, 88, 229, 137, 23 |
1, 88, 229, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 137 x 1 x 88 x 229 x 1 x 23 = 1523974848
Therefore, the lowest common multiple of 411,704,916,274,552 is 1523974848.
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.
411 x 704 x 916 x 274 x 552 = 40086634401792
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.
411 : 1, 3, 137, 411
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
916 : 1, 2, 4, 229, 458, 916
274 : 1, 2, 137, 274
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 411,704,916,274,552, is 1.
Now, the common factors can be found like this.
411:3x 137
704:2x 2x 2x 2x 2x 2x 11
916:2x 2x 229
274:2x 137
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 2x 2x 2x 2x 3x 137 = 26304
Therefore, the value for common factors is 26304.
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 = 40086634401792/(1x26304)
LCM = 40086634401792/26304
LCM = 1523974848
Thus, we can understand that the LCM of 411,704,916,274,552 is 1523974848.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 411, 704, 916, 274, 552?
Answer: LCM of 411, 704, 916, 274, 552 is 1523974848.
2. How to calculate the LCM of 411, 704, 916, 274, 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 411, 704, 916, 274, 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}.