Find the LCM of 126, 368, 465, 674, 710 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 126, 368, 465, 674, 710. So, keep reading to learn more.
Given numbers are 126,368,465,674,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,368,465,674,710 is 85982153040.
Find LCM of 126,368,465,674,710 with Prime Factorization
2 | 126, 368, 465, 674, 710 |
3 | 63, 184, 465, 337, 355 |
5 | 21, 184, 155, 337, 355 |
21, 184, 31, 337, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 21 x 184 x 31 x 337 x 71 = 85982153040
Therefore, the lowest common multiple of 126,368,465,674,710 is 85982153040.
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.
126 x 368 x 465 x 674 x 710 = 10317858364800
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
465 : 1, 3, 5, 15, 31, 93, 155, 465
674 : 1, 2, 337, 674
710 : 1, 2, 5, 10, 71, 142, 355, 710
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,368,465,674,710, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
368:2x 2x 2x 2x 23
465:3x 5x 31
674:2x 337
710:2x 5x 71
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 5 = 120
Therefore, the value for common factors is 120.
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 = 10317858364800/(1x120)
LCM = 10317858364800/120
LCM = 85982153040
Thus, we can understand that the LCM of 126,368,465,674,710 is 85982153040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 126, 368, 465, 674, 710?
Answer: LCM of 126, 368, 465, 674, 710 is 85982153040.
2. How to calculate the LCM of 126, 368, 465, 674, 710?
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 126, 368, 465, 674, 710.
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}.