LCM of 952, 742, 221, 914, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 742, 221, 914, 496 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 952, 742, 221, 914, 496. So, keep reading to learn more.
Given numbers are 952,742,221,914,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,742,221,914,496 is 18585063952.
Find LCM of 952,742,221,914,496 with Prime Factorization
| 2 | 952, 742, 221, 914, 496 |
| 2 | 476, 371, 221, 457, 248 |
| 2 | 238, 371, 221, 457, 124 |
| 7 | 119, 371, 221, 457, 62 |
| 17 | 17, 53, 221, 457, 62 |
| 1, 53, 13, 457, 62 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 17 x 1 x 53 x 13 x 457 x 62 = 18585063952
Therefore, the lowest common multiple of 952,742,221,914,496 is 18585063952.
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.
952 x 742 x 221 x 914 x 496 = 70771923529216
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.
952 : 1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
742 : 1, 2, 7, 14, 53, 106, 371, 742
221 : 1, 13, 17, 221
914 : 1, 2, 457, 914
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,742,221,914,496, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
742:2x 7x 53
221:13x 17
914:2x 457
496:2x 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 2x 2x 2x 7x 17 = 3808
Therefore, the value for common factors is 3808.
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 = 70771923529216/(1x3808)
LCM = 70771923529216/3808
LCM = 18585063952
Thus, we can understand that the LCM of 952,742,221,914,496 is 18585063952.
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FAQs on LCM of 952, 742, 221, 914, 496
1. What is the LCM of 952, 742, 221, 914, 496?
Answer: LCM of 952, 742, 221, 914, 496 is 18585063952.
2. How to calculate the LCM of 952, 742, 221, 914, 496?
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 952, 742, 221, 914, 496.
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}.