LCM of 416, 157, 198, 362, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 416, 157, 198, 362, 312 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 416, 157, 198, 362, 312. So, keep reading to learn more.
Given numbers are 416,157,198,362,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 416,157,198,362,312 is 1170325728.
Find LCM of 416,157,198,362,312 with Prime Factorization
| 2 | 416, 157, 198, 362, 312 |
| 2 | 208, 157, 99, 181, 156 |
| 2 | 104, 157, 99, 181, 78 |
| 3 | 52, 157, 99, 181, 39 |
| 13 | 52, 157, 33, 181, 13 |
| 4, 157, 33, 181, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 4 x 157 x 33 x 181 x 1 = 1170325728
Therefore, the lowest common multiple of 416,157,198,362,312 is 1170325728.
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.
416 x 157 x 198 x 362 x 312 = 1460566508544
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.
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
157 : 1, 157
198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198
362 : 1, 2, 181, 362
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 416,157,198,362,312, is 1.
Now, the common factors can be found like this.
416:2x 2x 2x 2x 2x 13
157:157
198:2x 3x 3x 11
362:2x 181
312:2x 2x 2x 3x 13
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 3x 13 = 1248
Therefore, the value for common factors is 1248.
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 = 1460566508544/(1x1248)
LCM = 1460566508544/1248
LCM = 1170325728
Thus, we can understand that the LCM of 416,157,198,362,312 is 1170325728.
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FAQs on LCM of 416, 157, 198, 362, 312
1. What is the LCM of 416, 157, 198, 362, 312?
Answer: LCM of 416, 157, 198, 362, 312 is 1170325728.
2. How to calculate the LCM of 416, 157, 198, 362, 312?
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 416, 157, 198, 362, 312.
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}.