LCM of 362, 742, 806, 248
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 742, 806, 248 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 362, 742, 806, 248. So, keep reading to learn more.
Given numbers are 362,742,806,248
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,742,806,248 is 216494824.
Find LCM of 362,742,806,248 with Prime Factorization
| 2 | 362, 742, 806, 248 |
| 31 | 181, 371, 403, 124 |
| 181, 371, 13, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 31 x 181 x 371 x 13 x 4 = 216494824
Therefore, the lowest common multiple of 362,742,806,248 is 216494824.
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.
362 x 742 x 806 x 248 = 53690716352
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.
362 : 1, 2, 181, 362
742 : 1, 2, 7, 14, 53, 106, 371, 742
806 : 1, 2, 13, 26, 31, 62, 403, 806
248 : 1, 2, 4, 8, 31, 62, 124, 248
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,742,806,248, is 2.
Now, the common factors can be found like this.
362:2x 181
742:2x 7x 53
806:2x 13x 31
248:2x 2x 2x 31
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 31 = 124
Therefore, the value for common factors is 124.
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 = 53690716352/(2x124)
LCM = 53690716352/248
LCM = 216494824
Thus, we can understand that the LCM of 362,742,806,248 is 216494824.
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FAQs on LCM of 362, 742, 806, 248
1. What is the LCM of 362, 742, 806, 248?
Answer: LCM of 362, 742, 806, 248 is 216494824.
2. How to calculate the LCM of 362, 742, 806, 248?
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 362, 742, 806, 248.
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}.