Find the LCM of 607, 936, 756, 981 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 607, 936, 756, 981. So, keep reading to learn more.
Given numbers are 607,936,756,981
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 607,936,756,981 is 1300499928.
Find LCM of 607,936,756,981 with Prime Factorization
2 | 607, 936, 756, 981 |
2 | 607, 468, 378, 981 |
3 | 607, 234, 189, 981 |
3 | 607, 78, 63, 327 |
607, 26, 21, 109 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 607 x 26 x 21 x 109 = 1300499928
Therefore, the lowest common multiple of 607,936,756,981 is 1300499928.
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.
607 x 936 x 756 x 981 = 421361976672
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.
607 : 1, 607
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
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
981 : 1, 3, 9, 109, 327, 981
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 607,936,756,981, is 1.
Now, the common factors can be found like this.
607:607
936:2x 2x 2x 3x 3x 13
756:2x 2x 3x 3x 3x 7
981:3x 3x 109
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 = 421361976672/(1x324)
LCM = 421361976672/324
LCM = 1300499928
Thus, we can understand that the LCM of 607,936,756,981 is 1300499928.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 607, 936, 756, 981?
Answer: LCM of 607, 936, 756, 981 is 1300499928.
2. How to calculate the LCM of 607, 936, 756, 981?
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 607, 936, 756, 981.
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}.