LCM of 474, 946, 305, 759, 667
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 474, 946, 305, 759, 667 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 474, 946, 305, 759, 667. So, keep reading to learn more.
Given numbers are 474,946,305,759,667
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 474,946,305,759,667 is 45610533870.
Find LCM of 474,946,305,759,667 with Prime Factorization
| 2 | 474, 946, 305, 759, 667 |
| 3 | 237, 473, 305, 759, 667 |
| 11 | 79, 473, 305, 253, 667 |
| 23 | 79, 43, 305, 23, 667 |
| 79, 43, 305, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 79 x 43 x 305 x 1 x 29 = 45610533870
Therefore, the lowest common multiple of 474,946,305,759,667 is 45610533870.
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.
474 x 946 x 305 x 759 x 667 = 69236790414660
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.
474 : 1, 2, 3, 6, 79, 158, 237, 474
946 : 1, 2, 11, 22, 43, 86, 473, 946
305 : 1, 5, 61, 305
759 : 1, 3, 11, 23, 33, 69, 253, 759
667 : 1, 23, 29, 667
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 474,946,305,759,667, is 1.
Now, the common factors can be found like this.
474:2x 3x 79
946:2x 11x 43
305:5x 61
759:3x 11x 23
667:23x 29
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 11x 23 = 1518
Therefore, the value for common factors is 1518.
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 = 69236790414660/(1x1518)
LCM = 69236790414660/1518
LCM = 45610533870
Thus, we can understand that the LCM of 474,946,305,759,667 is 45610533870.
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FAQs on LCM of 474, 946, 305, 759, 667
1. What is the LCM of 474, 946, 305, 759, 667?
Answer: LCM of 474, 946, 305, 759, 667 is 45610533870.
2. How to calculate the LCM of 474, 946, 305, 759, 667?
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 474, 946, 305, 759, 667.
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}.