Find the LCM of 683, 323, 877, 298, 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 683, 323, 877, 298, 710. So, keep reading to learn more.
Given numbers are 683,323,877,298,710
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 683,323,877,298,710 is 20467624298470.
Find LCM of 683,323,877,298,710 with Prime Factorization
2 | 683, 323, 877, 298, 710 |
683, 323, 877, 149, 355 |
Multiply the prime numbers at the bottom and the left side.
2 x 683 x 323 x 877 x 149 x 355 = 20467624298470
Therefore, the lowest common multiple of 683,323,877,298,710 is 20467624298470.
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.
683 x 323 x 877 x 298 x 710 = 40935248596940
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.
683 : 1, 683
323 : 1, 17, 19, 323
877 : 1, 877
298 : 1, 2, 149, 298
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 683,323,877,298,710, is 1.
Now, the common factors can be found like this.
683:683
323:17x 19
877:877
298:2x 149
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.
2 = 2
Therefore, the value for common factors is 2.
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 = 40935248596940/(1x2)
LCM = 40935248596940/2
LCM = 20467624298470
Thus, we can understand that the LCM of 683,323,877,298,710 is 20467624298470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 683, 323, 877, 298, 710?
Answer: LCM of 683, 323, 877, 298, 710 is 20467624298470.
2. How to calculate the LCM of 683, 323, 877, 298, 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 683, 323, 877, 298, 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}.