LCM of 852, 714, 774, 972
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 852, 714, 774, 972 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 852, 714, 774, 972. So, keep reading to learn more.
Given numbers are 852,714,774,972
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 852,714,774,972 is 353134404.
Find LCM of 852,714,774,972 with Prime Factorization
| 2 | 852, 714, 774, 972 |
| 2 | 426, 357, 387, 486 |
| 3 | 213, 357, 387, 243 |
| 3 | 71, 119, 129, 81 |
| 71, 119, 43, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 71 x 119 x 43 x 27 = 353134404
Therefore, the lowest common multiple of 852,714,774,972 is 353134404.
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.
852 x 714 x 774 x 972 = 457662187584
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.
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 852,714,774,972, is 6.
Now, the common factors can be found like this.
852:2x 2x 3x 71
714:2x 3x 7x 17
774:2x 3x 3x 43
972:2x 2x 3x 3x 3x 3x 3
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 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 457662187584/(6x216)
LCM = 457662187584/1296
LCM = 353134404
Thus, we can understand that the LCM of 852,714,774,972 is 353134404.
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FAQs on LCM of 852, 714, 774, 972
1. What is the LCM of 852, 714, 774, 972?
Answer: LCM of 852, 714, 774, 972 is 353134404.
2. How to calculate the LCM of 852, 714, 774, 972?
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 852, 714, 774, 972.
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}.