LCM of 912, 146, 791, 895, 120
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 912, 146, 791, 895, 120 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 912, 146, 791, 895, 120. So, keep reading to learn more.
Given numbers are 912,146,791,895,120
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 912,146,791,895,120 is 47132146320.
Find LCM of 912,146,791,895,120 with Prime Factorization
| 2 | 912, 146, 791, 895, 120 |
| 2 | 456, 73, 791, 895, 60 |
| 2 | 228, 73, 791, 895, 30 |
| 3 | 114, 73, 791, 895, 15 |
| 5 | 38, 73, 791, 895, 5 |
| 38, 73, 791, 179, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 38 x 73 x 791 x 179 x 1 = 47132146320
Therefore, the lowest common multiple of 912,146,791,895,120 is 47132146320.
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.
912 x 146 x 791 x 895 x 120 = 11311715116800
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.
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
146 : 1, 2, 73, 146
791 : 1, 7, 113, 791
895 : 1, 5, 179, 895
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 912,146,791,895,120, is 1.
Now, the common factors can be found like this.
912:2x 2x 2x 2x 3x 19
146:2x 73
791:7x 113
895:5x 179
120:2x 2x 2x 3x 5
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 3x 5 = 240
Therefore, the value for common factors is 240.
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 = 11311715116800/(1x240)
LCM = 11311715116800/240
LCM = 47132146320
Thus, we can understand that the LCM of 912,146,791,895,120 is 47132146320.
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FAQs on LCM of 912, 146, 791, 895, 120
1. What is the LCM of 912, 146, 791, 895, 120?
Answer: LCM of 912, 146, 791, 895, 120 is 47132146320.
2. How to calculate the LCM of 912, 146, 791, 895, 120?
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 912, 146, 791, 895, 120.
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}.