Find the LCM of 103, 749, 748, 705, 280 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 103, 749, 748, 705, 280. So, keep reading to learn more.
Given numbers are 103,749,748,705,280
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 103,749,748,705,280 is 81365397960.
Find LCM of 103,749,748,705,280 with Prime Factorization
2 | 103, 749, 748, 705, 280 |
2 | 103, 749, 374, 705, 140 |
5 | 103, 749, 187, 705, 70 |
7 | 103, 749, 187, 141, 14 |
103, 107, 187, 141, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 103 x 107 x 187 x 141 x 2 = 81365397960
Therefore, the lowest common multiple of 103,749,748,705,280 is 81365397960.
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.
103 x 749 x 748 x 705 x 280 = 11391155714400
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.
103 : 1, 103
749 : 1, 7, 107, 749
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
705 : 1, 3, 5, 15, 47, 141, 235, 705
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 103,749,748,705,280, is 1.
Now, the common factors can be found like this.
103:103
749:7x 107
748:2x 2x 11x 17
705:3x 5x 47
280:2x 2x 2x 5x 7
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 7 = 140
Therefore, the value for common factors is 140.
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 = 11391155714400/(1x140)
LCM = 11391155714400/140
LCM = 81365397960
Thus, we can understand that the LCM of 103,749,748,705,280 is 81365397960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 103, 749, 748, 705, 280?
Answer: LCM of 103, 749, 748, 705, 280 is 81365397960.
2. How to calculate the LCM of 103, 749, 748, 705, 280?
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 103, 749, 748, 705, 280.
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}.