Find the LCM of 655, 145, 684, 143, 104 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 655, 145, 684, 143, 104. So, keep reading to learn more.
Given numbers are 655,145,684,143,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,145,684,143,104 is 3715877880.
Find LCM of 655,145,684,143,104 with Prime Factorization
2 | 655, 145, 684, 143, 104 |
2 | 655, 145, 342, 143, 52 |
5 | 655, 145, 171, 143, 26 |
13 | 131, 29, 171, 143, 26 |
131, 29, 171, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 13 x 131 x 29 x 171 x 11 x 2 = 3715877880
Therefore, the lowest common multiple of 655,145,684,143,104 is 3715877880.
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.
655 x 145 x 684 x 143 x 104 = 966128248800
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.
655 : 1, 5, 131, 655
145 : 1, 5, 29, 145
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
143 : 1, 11, 13, 143
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 655,145,684,143,104, is 1.
Now, the common factors can be found like this.
655:5x 131
145:5x 29
684:2x 2x 3x 3x 19
143:11x 13
104:2x 2x 2x 13
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 5x 13 = 260
Therefore, the value for common factors is 260.
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 = 966128248800/(1x260)
LCM = 966128248800/260
LCM = 3715877880
Thus, we can understand that the LCM of 655,145,684,143,104 is 3715877880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 655, 145, 684, 143, 104?
Answer: LCM of 655, 145, 684, 143, 104 is 3715877880.
2. How to calculate the LCM of 655, 145, 684, 143, 104?
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 655, 145, 684, 143, 104.
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}.