LCM of 615, 400, 619, 875, 378
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 400, 619, 875, 378 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 615, 400, 619, 875, 378. So, keep reading to learn more.
Given numbers are 615,400,619,875,378
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,400,619,875,378 is 9593262000.
Find LCM of 615,400,619,875,378 with Prime Factorization
| 2 | 615, 400, 619, 875, 378 |
| 3 | 615, 200, 619, 875, 189 |
| 5 | 205, 200, 619, 875, 63 |
| 5 | 41, 40, 619, 175, 63 |
| 7 | 41, 8, 619, 35, 63 |
| 41, 8, 619, 5, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 5 x 7 x 41 x 8 x 619 x 5 x 9 = 9593262000
Therefore, the lowest common multiple of 615,400,619,875,378 is 9593262000.
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.
615 x 400 x 619 x 875 x 378 = 50364625500000
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
619 : 1, 619
875 : 1, 5, 7, 25, 35, 125, 175, 875
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,400,619,875,378, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
400:2x 2x 2x 2x 5x 5
619:619
875:5x 5x 5x 7
378:2x 3x 3x 3x 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 5x 7 = 5250
Therefore, the value for common factors is 5250.
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 = 50364625500000/(1x5250)
LCM = 50364625500000/5250
LCM = 9593262000
Thus, we can understand that the LCM of 615,400,619,875,378 is 9593262000.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 615, 400, 619, 875, 378
1. What is the LCM of 615, 400, 619, 875, 378?
Answer: LCM of 615, 400, 619, 875, 378 is 9593262000.
2. How to calculate the LCM of 615, 400, 619, 875, 378?
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 615, 400, 619, 875, 378.
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}.