Find the LCM of 336, 972, 867, 613, 495 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 336, 972, 867, 613, 495. So, keep reading to learn more.
Given numbers are 336,972,867,613,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,972,867,613,495 is 265182770160.
Find LCM of 336,972,867,613,495 with Prime Factorization
2 | 336, 972, 867, 613, 495 |
2 | 168, 486, 867, 613, 495 |
3 | 84, 243, 867, 613, 495 |
3 | 28, 81, 289, 613, 165 |
28, 27, 289, 613, 55 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 28 x 27 x 289 x 613 x 55 = 265182770160
Therefore, the lowest common multiple of 336,972,867,613,495 is 265182770160.
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.
336 x 972 x 867 x 613 x 495 = 85919217531840
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
867 : 1, 3, 17, 51, 289, 867
613 : 1, 613
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,972,867,613,495, is 1.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
972:2x 2x 3x 3x 3x 3x 3
867:3x 17x 17
613:613
495:3x 3x 5x 11
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 3x 3x 3x 3 = 324
Therefore, the value for common factors is 324.
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 = 85919217531840/(1x324)
LCM = 85919217531840/324
LCM = 265182770160
Thus, we can understand that the LCM of 336,972,867,613,495 is 265182770160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 336, 972, 867, 613, 495?
Answer: LCM of 336, 972, 867, 613, 495 is 265182770160.
2. How to calculate the LCM of 336, 972, 867, 613, 495?
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 336, 972, 867, 613, 495.
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}.