Find the LCM of 942, 667, 920, 795, 875 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 942, 667, 920, 795, 875. So, keep reading to learn more.
Given numbers are 942,667,920,795,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 942,667,920,795,875 is 116552247000.
Find LCM of 942,667,920,795,875 with Prime Factorization
2 | 942, 667, 920, 795, 875 |
3 | 471, 667, 460, 795, 875 |
5 | 157, 667, 460, 265, 875 |
23 | 157, 667, 92, 53, 175 |
157, 29, 4, 53, 175 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 23 x 157 x 29 x 4 x 53 x 175 = 116552247000
Therefore, the lowest common multiple of 942,667,920,795,875 is 116552247000.
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.
942 x 667 x 920 x 795 x 875 = 402105252150000
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.
942 : 1, 2, 3, 6, 157, 314, 471, 942
667 : 1, 23, 29, 667
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
795 : 1, 3, 5, 15, 53, 159, 265, 795
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,667,920,795,875, is 1.
Now, the common factors can be found like this.
942:2x 3x 157
667:23x 29
920:2x 2x 2x 5x 23
795:3x 5x 53
875:5x 5x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 23 = 3450
Therefore, the value for common factors is 3450.
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 = 402105252150000/(1x3450)
LCM = 402105252150000/3450
LCM = 116552247000
Thus, we can understand that the LCM of 942,667,920,795,875 is 116552247000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 942, 667, 920, 795, 875?
Answer: LCM of 942, 667, 920, 795, 875 is 116552247000.
2. How to calculate the LCM of 942, 667, 920, 795, 875?
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 942, 667, 920, 795, 875.
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}.