LCM of 420, 240, 782, 904
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 420, 240, 782, 904 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 420, 240, 782, 904. So, keep reading to learn more.
Given numbers are 420,240,782,904
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 420,240,782,904 is 74227440.
Find LCM of 420,240,782,904 with Prime Factorization
| 2 | 420, 240, 782, 904 |
| 2 | 210, 120, 391, 452 |
| 2 | 105, 60, 391, 226 |
| 3 | 105, 30, 391, 113 |
| 5 | 35, 10, 391, 113 |
| 7, 2, 391, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 7 x 2 x 391 x 113 = 74227440
Therefore, the lowest common multiple of 420,240,782,904 is 74227440.
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.
420 x 240 x 782 x 904 = 71258342400
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.
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
782 : 1, 2, 17, 23, 34, 46, 391, 782
904 : 1, 2, 4, 8, 113, 226, 452, 904
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 420,240,782,904, is 2.
Now, the common factors can be found like this.
420:2x 2x 3x 5x 7
240:2x 2x 2x 2x 3x 5
782:2x 17x 23
904:2x 2x 2x 113
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 2x 3x 5 = 480
Therefore, the value for common factors is 480.
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 = 71258342400/(2x480)
LCM = 71258342400/960
LCM = 74227440
Thus, we can understand that the LCM of 420,240,782,904 is 74227440.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 420, 240, 782, 904
1. What is the LCM of 420, 240, 782, 904?
Answer: LCM of 420, 240, 782, 904 is 74227440.
2. How to calculate the LCM of 420, 240, 782, 904?
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 420, 240, 782, 904.
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}.