Find the LCM of 315, 312, 956, 865, 692 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 315, 312, 956, 865, 692. So, keep reading to learn more.
Given numbers are 315,312,956,865,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,312,956,865,692 is 1354527720.
Find LCM of 315,312,956,865,692 with Prime Factorization
2 | 315, 312, 956, 865, 692 |
2 | 315, 156, 478, 865, 346 |
3 | 315, 78, 239, 865, 173 |
5 | 105, 26, 239, 865, 173 |
173 | 21, 26, 239, 173, 173 |
21, 26, 239, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 173 x 21 x 26 x 239 x 1 x 1 = 1354527720
Therefore, the lowest common multiple of 315,312,956,865,692 is 1354527720.
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.
315 x 312 x 956 x 865 x 692 = 56239990934400
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
956 : 1, 2, 4, 239, 478, 956
865 : 1, 5, 173, 865
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,312,956,865,692, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
312:2x 2x 2x 3x 13
956:2x 2x 239
865:5x 173
692:2x 2x 173
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 2x 3x 5x 173 = 41520
Therefore, the value for common factors is 41520.
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 = 56239990934400/(1x41520)
LCM = 56239990934400/41520
LCM = 1354527720
Thus, we can understand that the LCM of 315,312,956,865,692 is 1354527720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 315, 312, 956, 865, 692?
Answer: LCM of 315, 312, 956, 865, 692 is 1354527720.
2. How to calculate the LCM of 315, 312, 956, 865, 692?
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 315, 312, 956, 865, 692.
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}.