LCM of 409, 478, 782, 556
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 478, 782, 556 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 409, 478, 782, 556. So, keep reading to learn more.
Given numbers are 409,478,782,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,478,782,556 is 21250676396.
Find LCM of 409,478,782,556 with Prime Factorization
| 2 | 409, 478, 782, 556 |
| 409, 239, 391, 278 |
Multiply the prime numbers at the bottom and the left side.
2 x 409 x 239 x 391 x 278 = 21250676396
Therefore, the lowest common multiple of 409,478,782,556 is 21250676396.
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.
409 x 478 x 782 x 556 = 85002705584
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.
409 : 1, 409
478 : 1, 2, 239, 478
782 : 1, 2, 17, 23, 34, 46, 391, 782
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,478,782,556, is 1.
Now, the common factors can be found like this.
409:409
478:2x 239
782:2x 17x 23
556:2x 2x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 85002705584/(1x4)
LCM = 85002705584/4
LCM = 21250676396
Thus, we can understand that the LCM of 409,478,782,556 is 21250676396.
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FAQs on LCM of 409, 478, 782, 556
1. What is the LCM of 409, 478, 782, 556?
Answer: LCM of 409, 478, 782, 556 is 21250676396.
2. How to calculate the LCM of 409, 478, 782, 556?
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 409, 478, 782, 556.
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}.