LCM of 478, 120, 430, 523
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 120, 430, 523 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 478, 120, 430, 523. So, keep reading to learn more.
Given numbers are 478,120,430,523
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,120,430,523 is 644984520.
Find LCM of 478,120,430,523 with Prime Factorization
| 2 | 478, 120, 430, 523 |
| 5 | 239, 60, 215, 523 |
| 239, 12, 43, 523 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 239 x 12 x 43 x 523 = 644984520
Therefore, the lowest common multiple of 478,120,430,523 is 644984520.
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.
478 x 120 x 430 x 523 = 12899690400
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.
478 : 1, 2, 239, 478
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
430 : 1, 2, 5, 10, 43, 86, 215, 430
523 : 1, 523
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,120,430,523, is 1.
Now, the common factors can be found like this.
478:2x 239
120:2x 2x 2x 3x 5
430:2x 5x 43
523:523
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 5 = 20
Therefore, the value for common factors is 20.
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 = 12899690400/(1x20)
LCM = 12899690400/20
LCM = 644984520
Thus, we can understand that the LCM of 478,120,430,523 is 644984520.
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FAQs on LCM of 478, 120, 430, 523
1. What is the LCM of 478, 120, 430, 523?
Answer: LCM of 478, 120, 430, 523 is 644984520.
2. How to calculate the LCM of 478, 120, 430, 523?
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 478, 120, 430, 523.
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}.