Find the LCM of 104, 276, 975, 774, 533 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 104, 276, 975, 774, 533. So, keep reading to learn more.
Given numbers are 104,276,975,774,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 104,276,975,774,533 is 948846600.
Find LCM of 104,276,975,774,533 with Prime Factorization
2 | 104, 276, 975, 774, 533 |
2 | 52, 138, 975, 387, 533 |
3 | 26, 69, 975, 387, 533 |
13 | 26, 23, 325, 129, 533 |
2, 23, 25, 129, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 13 x 2 x 23 x 25 x 129 x 41 = 948846600
Therefore, the lowest common multiple of 104,276,975,774,533 is 948846600.
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.
104 x 276 x 975 x 774 x 533 = 11545565428800
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.
104 : 1, 2, 4, 8, 13, 26, 52, 104
276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
975 : 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 104,276,975,774,533, is 1.
Now, the common factors can be found like this.
104:2x 2x 2x 13
276:2x 2x 3x 23
975:3x 5x 5x 13
774:2x 3x 3x 43
533:13x 41
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 3x 3x 13x 13 = 12168
Therefore, the value for common factors is 12168.
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 = 11545565428800/(1x12168)
LCM = 11545565428800/12168
LCM = 948846600
Thus, we can understand that the LCM of 104,276,975,774,533 is 948846600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 104, 276, 975, 774, 533?
Answer: LCM of 104, 276, 975, 774, 533 is 948846600.
2. How to calculate the LCM of 104, 276, 975, 774, 533?
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 104, 276, 975, 774, 533.
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}.