LCM of 952, 684, 847, 917, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 952, 684, 847, 917, 203 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, 684, 847, 917, 203. So, keep reading to learn more.
Given numbers are 952,684,847,917,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 952,684,847,917,203 is 74832063768.
Find LCM of 952,684,847,917,203 with Prime Factorization
| 2 | 952, 684, 847, 917, 203 |
| 2 | 476, 342, 847, 917, 203 |
| 7 | 238, 171, 847, 917, 203 |
| 34, 171, 121, 131, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 34 x 171 x 121 x 131 x 29 = 74832063768
Therefore, the lowest common multiple of 952,684,847,917,203 is 74832063768.
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 684 x 847 x 917 x 203 = 102669591489696
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
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
847 : 1, 7, 11, 77, 121, 847
917 : 1, 7, 131, 917
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 952,684,847,917,203, is 1.
Now, the common factors can be found like this.
952:2x 2x 2x 7x 17
684:2x 2x 3x 3x 19
847:7x 11x 11
917:7x 131
203:7x 29
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 7x 7x 7 = 1372
Therefore, the value for common factors is 1372.
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 = 102669591489696/(1x1372)
LCM = 102669591489696/1372
LCM = 74832063768
Thus, we can understand that the LCM of 952,684,847,917,203 is 74832063768.
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FAQs on LCM of 952, 684, 847, 917, 203
1. What is the LCM of 952, 684, 847, 917, 203?
Answer: LCM of 952, 684, 847, 917, 203 is 74832063768.
2. How to calculate the LCM of 952, 684, 847, 917, 203?
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, 684, 847, 917, 203.
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}.