Find the LCM of 803, 942, 146, 934, 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 803, 942, 146, 934, 702. So, keep reading to learn more.
Given numbers are 803,942,146,934,702
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 803,942,146,934,702 is 41330360214.
Find LCM of 803,942,146,934,702 with Prime Factorization
2 | 803, 942, 146, 934, 702 |
3 | 803, 471, 73, 467, 351 |
73 | 803, 157, 73, 467, 117 |
11, 157, 1, 467, 117 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 73 x 11 x 157 x 1 x 467 x 117 = 41330360214
Therefore, the lowest common multiple of 803,942,146,934,702 is 41330360214.
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.
803 x 942 x 146 x 934 x 702 = 72410791094928
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.
803 : 1, 11, 73, 803
942 : 1, 2, 3, 6, 157, 314, 471, 942
146 : 1, 2, 73, 146
934 : 1, 2, 467, 934
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 803,942,146,934,702, is 1.
Now, the common factors can be found like this.
803:11x 73
942:2x 3x 157
146:2x 73
934:2x 467
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 2x 3x 73 = 1752
Therefore, the value for common factors is 1752.
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 = 72410791094928/(1x1752)
LCM = 72410791094928/1752
LCM = 41330360214
Thus, we can understand that the LCM of 803,942,146,934,702 is 41330360214.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 803, 942, 146, 934, 702?
Answer: LCM of 803, 942, 146, 934, 702 is 41330360214.
2. How to calculate the LCM of 803, 942, 146, 934, 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 803, 942, 146, 934, 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}.