LCM of 155, 320, 942, 240, 422
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 155, 320, 942, 240, 422 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 155, 320, 942, 240, 422. So, keep reading to learn more.
Given numbers are 155,320,942,240,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 155,320,942,240,422 is 985859520.
Find LCM of 155,320,942,240,422 with Prime Factorization
| 2 | 155, 320, 942, 240, 422 |
| 2 | 155, 160, 471, 120, 211 |
| 2 | 155, 80, 471, 60, 211 |
| 2 | 155, 40, 471, 30, 211 |
| 3 | 155, 20, 471, 15, 211 |
| 5 | 155, 20, 157, 5, 211 |
| 31, 4, 157, 1, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 31 x 4 x 157 x 1 x 211 = 985859520
Therefore, the lowest common multiple of 155,320,942,240,422 is 985859520.
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.
155 x 320 x 942 x 240 x 422 = 4732125696000
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.
155 : 1, 5, 31, 155
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
942 : 1, 2, 3, 6, 157, 314, 471, 942
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 155,320,942,240,422, is 1.
Now, the common factors can be found like this.
155:5x 31
320:2x 2x 2x 2x 2x 2x 5
942:2x 3x 157
240:2x 2x 2x 2x 3x 5
422:2x 211
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 2x 3x 5x 5 = 4800
Therefore, the value for common factors is 4800.
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 = 4732125696000/(1x4800)
LCM = 4732125696000/4800
LCM = 985859520
Thus, we can understand that the LCM of 155,320,942,240,422 is 985859520.
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FAQs on LCM of 155, 320, 942, 240, 422
1. What is the LCM of 155, 320, 942, 240, 422?
Answer: LCM of 155, 320, 942, 240, 422 is 985859520.
2. How to calculate the LCM of 155, 320, 942, 240, 422?
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 155, 320, 942, 240, 422.
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}.