Find the LCM of 397, 870, 780, 702 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 397, 870, 780, 702. So, keep reading to learn more.
Given numbers are 397,870,780,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 397,870,780,702 is 80821260.
Find LCM of 397,870,780,702 with Prime Factorization
2 | 397, 870, 780, 702 |
3 | 397, 435, 390, 351 |
5 | 397, 145, 130, 117 |
13 | 397, 29, 26, 117 |
397, 29, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 397 x 29 x 2 x 9 = 80821260
Therefore, the lowest common multiple of 397,870,780,702 is 80821260.
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.
397 x 870 x 780 x 702 = 189121748400
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.
397 : 1, 397
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 397,870,780,702, is 1.
Now, the common factors can be found like this.
397:397
870:2x 3x 5x 29
780:2x 2x 3x 5x 13
702:2x 3x 3x 3x 13
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 5x 13 = 2340
Therefore, the value for common factors is 2340.
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 = 189121748400/(1x2340)
LCM = 189121748400/2340
LCM = 80821260
Thus, we can understand that the LCM of 397,870,780,702 is 80821260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 397, 870, 780, 702?
Answer: LCM of 397, 870, 780, 702 is 80821260.
2. How to calculate the LCM of 397, 870, 780, 702?
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 397, 870, 780, 702.
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}.