LCM of 972, 420, 846, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 972, 420, 846, 336 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 972, 420, 846, 336. So, keep reading to learn more.
Given numbers are 972,420,846,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 972,420,846,336 is 6395760.
Find LCM of 972,420,846,336 with Prime Factorization
| 2 | 972, 420, 846, 336 |
| 2 | 486, 210, 423, 168 |
| 3 | 243, 105, 423, 84 |
| 3 | 81, 35, 141, 28 |
| 7 | 27, 35, 47, 28 |
| 27, 5, 47, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 27 x 5 x 47 x 4 = 6395760
Therefore, the lowest common multiple of 972,420,846,336 is 6395760.
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.
972 x 420 x 846 x 336 = 116044669440
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.
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
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
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 972,420,846,336, is 6.
Now, the common factors can be found like this.
972:2x 2x 3x 3x 3x 3x 3
420:2x 2x 3x 5x 7
846:2x 3x 3x 47
336:2x 2x 2x 2x 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 2x 2x 2x 3x 3x 3x 7 = 3024
Therefore, the value for common factors is 3024.
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 = 116044669440/(6x3024)
LCM = 116044669440/18144
LCM = 6395760
Thus, we can understand that the LCM of 972,420,846,336 is 6395760.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 972, 420, 846, 336
1. What is the LCM of 972, 420, 846, 336?
Answer: LCM of 972, 420, 846, 336 is 6395760.
2. How to calculate the LCM of 972, 420, 846, 336?
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 972, 420, 846, 336.
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}.