LCM of 952, 731, 302, 636, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 731, 302, 636, 470 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, 731, 302, 636, 470. So, keep reading to learn more.
Given numbers are 952,731,302,636,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,731,302,636,470 is 230965619640.
Find LCM of 952,731,302,636,470 with Prime Factorization
| 2 | 952, 731, 302, 636, 470 |
| 2 | 476, 731, 151, 318, 235 |
| 17 | 238, 731, 151, 159, 235 |
| 14, 43, 151, 159, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 14 x 43 x 151 x 159 x 235 = 230965619640
Therefore, the lowest common multiple of 952,731,302,636,470 is 230965619640.
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 731 x 302 x 636 x 470 = 62822648542080
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
731 : 1, 17, 43, 731
302 : 1, 2, 151, 302
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,731,302,636,470, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
731:17x 43
302:2x 151
636:2x 2x 3x 53
470:2x 5x 47
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 17 = 272
Therefore, the value for common factors is 272.
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 = 62822648542080/(1x272)
LCM = 62822648542080/272
LCM = 230965619640
Thus, we can understand that the LCM of 952,731,302,636,470 is 230965619640.
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FAQs on LCM of 952, 731, 302, 636, 470
1. What is the LCM of 952, 731, 302, 636, 470?
Answer: LCM of 952, 731, 302, 636, 470 is 230965619640.
2. How to calculate the LCM of 952, 731, 302, 636, 470?
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, 731, 302, 636, 470.
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}.