LCM of 472, 413, 552, 467, 119
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 472, 413, 552, 467, 119 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 472, 413, 552, 467, 119. So, keep reading to learn more.
Given numbers are 472,413,552,467,119
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 472,413,552,467,119 is 1809901464.
Find LCM of 472,413,552,467,119 with Prime Factorization
| 2 | 472, 413, 552, 467, 119 |
| 2 | 236, 413, 276, 467, 119 |
| 2 | 118, 413, 138, 467, 119 |
| 7 | 59, 413, 69, 467, 119 |
| 59 | 59, 59, 69, 467, 17 |
| 1, 1, 69, 467, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 59 x 1 x 1 x 69 x 467 x 17 = 1809901464
Therefore, the lowest common multiple of 472,413,552,467,119 is 1809901464.
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.
472 x 413 x 552 x 467 x 119 = 5979914437056
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.
472 : 1, 2, 4, 8, 59, 118, 236, 472
413 : 1, 7, 59, 413
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
467 : 1, 467
119 : 1, 7, 17, 119
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 472,413,552,467,119, is 1.
Now, the common factors can be found like this.
472:2x 2x 2x 59
413:7x 59
552:2x 2x 2x 3x 23
467:467
119:7x 17
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 7x 59 = 3304
Therefore, the value for common factors is 3304.
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 = 5979914437056/(1x3304)
LCM = 5979914437056/3304
LCM = 1809901464
Thus, we can understand that the LCM of 472,413,552,467,119 is 1809901464.
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FAQs on LCM of 472, 413, 552, 467, 119
1. What is the LCM of 472, 413, 552, 467, 119?
Answer: LCM of 472, 413, 552, 467, 119 is 1809901464.
2. How to calculate the LCM of 472, 413, 552, 467, 119?
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 472, 413, 552, 467, 119.
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}.