Find the LCM of 865, 926, 284, 692, 681 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 865, 926, 284, 692, 681. So, keep reading to learn more.
Given numbers are 865,926,284,692,681
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 865,926,284,692,681 is 77457334980.
Find LCM of 865,926,284,692,681 with Prime Factorization
2 | 865, 926, 284, 692, 681 |
2 | 865, 463, 142, 346, 681 |
173 | 865, 463, 71, 173, 681 |
5, 463, 71, 1, 681 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 173 x 5 x 463 x 71 x 1 x 681 = 77457334980
Therefore, the lowest common multiple of 865,926,284,692,681 is 77457334980.
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.
865 x 926 x 284 x 692 x 681 = 107200951612320
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.
865 : 1, 5, 173, 865
926 : 1, 2, 463, 926
284 : 1, 2, 4, 71, 142, 284
692 : 1, 2, 4, 173, 346, 692
681 : 1, 3, 227, 681
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 865,926,284,692,681, is 1.
Now, the common factors can be found like this.
865:5x 173
926:2x 463
284:2x 2x 71
692:2x 2x 173
681:3x 227
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 173 = 1384
Therefore, the value for common factors is 1384.
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 = 107200951612320/(1x1384)
LCM = 107200951612320/1384
LCM = 77457334980
Thus, we can understand that the LCM of 865,926,284,692,681 is 77457334980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 865, 926, 284, 692, 681?
Answer: LCM of 865, 926, 284, 692, 681 is 77457334980.
2. How to calculate the LCM of 865, 926, 284, 692, 681?
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 865, 926, 284, 692, 681.
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}.