LCM of 315, 894, 905, 185, 946
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 894, 905, 185, 946 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 315, 894, 905, 185, 946. So, keep reading to learn more.
Given numbers are 315,894,905,185,946
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,894,905,185,946 is 297350215470.
Find LCM of 315,894,905,185,946 with Prime Factorization
| 2 | 315, 894, 905, 185, 946 |
| 3 | 315, 447, 905, 185, 473 |
| 5 | 105, 149, 905, 185, 473 |
| 21, 149, 181, 37, 473 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 21 x 149 x 181 x 37 x 473 = 297350215470
Therefore, the lowest common multiple of 315,894,905,185,946 is 297350215470.
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.
315 x 894 x 905 x 185 x 946 = 44602532320500
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
894 : 1, 2, 3, 6, 149, 298, 447, 894
905 : 1, 5, 181, 905
185 : 1, 5, 37, 185
946 : 1, 2, 11, 22, 43, 86, 473, 946
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,894,905,185,946, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
894:2x 3x 149
905:5x 181
185:5x 37
946:2x 11x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5 = 150
Therefore, the value for common factors is 150.
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 = 44602532320500/(1x150)
LCM = 44602532320500/150
LCM = 297350215470
Thus, we can understand that the LCM of 315,894,905,185,946 is 297350215470.
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FAQs on LCM of 315, 894, 905, 185, 946
1. What is the LCM of 315, 894, 905, 185, 946?
Answer: LCM of 315, 894, 905, 185, 946 is 297350215470.
2. How to calculate the LCM of 315, 894, 905, 185, 946?
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 315, 894, 905, 185, 946.
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}.