Find the LCM of 234, 774, 936, 682, 613 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 234, 774, 936, 682, 613. So, keep reading to learn more.
Given numbers are 234,774,936,682,613
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 234,774,936,682,613 is 8413160184.
Find LCM of 234,774,936,682,613 with Prime Factorization
2 | 234, 774, 936, 682, 613 |
3 | 117, 387, 468, 341, 613 |
3 | 39, 129, 156, 341, 613 |
13 | 13, 43, 52, 341, 613 |
1, 43, 4, 341, 613 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 1 x 43 x 4 x 341 x 613 = 8413160184
Therefore, the lowest common multiple of 234,774,936,682,613 is 8413160184.
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.
234 x 774 x 936 x 682 x 613 = 70872461390016
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.
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
682 : 1, 2, 11, 22, 31, 62, 341, 682
613 : 1, 613
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 234,774,936,682,613, is 1.
Now, the common factors can be found like this.
234:2x 3x 3x 13
774:2x 3x 3x 43
936:2x 2x 2x 3x 3x 13
682:2x 11x 31
613:613
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 3x 3x 3x 13 = 8424
Therefore, the value for common factors is 8424.
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 = 70872461390016/(1x8424)
LCM = 70872461390016/8424
LCM = 8413160184
Thus, we can understand that the LCM of 234,774,936,682,613 is 8413160184.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 234, 774, 936, 682, 613?
Answer: LCM of 234, 774, 936, 682, 613 is 8413160184.
2. How to calculate the LCM of 234, 774, 936, 682, 613?
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 234, 774, 936, 682, 613.
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}.