LCM of 375, 120, 946, 857, 474
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 375, 120, 946, 857, 474 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 375, 120, 946, 857, 474. So, keep reading to learn more.
Given numbers are 375,120,946,857,474
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 375,120,946,857,474 is 96070557000.
Find LCM of 375,120,946,857,474 with Prime Factorization
| 2 | 375, 120, 946, 857, 474 |
| 3 | 375, 60, 473, 857, 237 |
| 5 | 125, 20, 473, 857, 79 |
| 25, 4, 473, 857, 79 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 25 x 4 x 473 x 857 x 79 = 96070557000
Therefore, the lowest common multiple of 375,120,946,857,474 is 96070557000.
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.
375 x 120 x 946 x 857 x 474 = 17292700260000
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.
375 : 1, 3, 5, 15, 25, 75, 125, 375
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
946 : 1, 2, 11, 22, 43, 86, 473, 946
857 : 1, 857
474 : 1, 2, 3, 6, 79, 158, 237, 474
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 375,120,946,857,474, is 1.
Now, the common factors can be found like this.
375:3x 5x 5x 5
120:2x 2x 2x 3x 5
946:2x 11x 43
857:857
474:2x 3x 79
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 3x 3x 5 = 180
Therefore, the value for common factors is 180.
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 = 17292700260000/(1x180)
LCM = 17292700260000/180
LCM = 96070557000
Thus, we can understand that the LCM of 375,120,946,857,474 is 96070557000.
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FAQs on LCM of 375, 120, 946, 857, 474
1. What is the LCM of 375, 120, 946, 857, 474?
Answer: LCM of 375, 120, 946, 857, 474 is 96070557000.
2. How to calculate the LCM of 375, 120, 946, 857, 474?
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 375, 120, 946, 857, 474.
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}.