LCM of 556, 479, 407, 464, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 556, 479, 407, 464, 222 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 556, 479, 407, 464, 222. So, keep reading to learn more.
Given numbers are 556,479,407,464,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 556,479,407,464,222 is 37721066064.
Find LCM of 556,479,407,464,222 with Prime Factorization
| 2 | 556, 479, 407, 464, 222 |
| 2 | 278, 479, 407, 232, 111 |
| 37 | 139, 479, 407, 116, 111 |
| 139, 479, 11, 116, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 139 x 479 x 11 x 116 x 3 = 37721066064
Therefore, the lowest common multiple of 556,479,407,464,222 is 37721066064.
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.
556 x 479 x 407 x 464 x 222 = 11165435554944
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.
556 : 1, 2, 4, 139, 278, 556
479 : 1, 479
407 : 1, 11, 37, 407
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
222 : 1, 2, 3, 6, 37, 74, 111, 222
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 556,479,407,464,222, is 1.
Now, the common factors can be found like this.
556:2x 2x 139
479:479
407:11x 37
464:2x 2x 2x 2x 29
222:2x 3x 37
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 37 = 296
Therefore, the value for common factors is 296.
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 = 11165435554944/(1x296)
LCM = 11165435554944/296
LCM = 37721066064
Thus, we can understand that the LCM of 556,479,407,464,222 is 37721066064.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 556, 479, 407, 464, 222
1. What is the LCM of 556, 479, 407, 464, 222?
Answer: LCM of 556, 479, 407, 464, 222 is 37721066064.
2. How to calculate the LCM of 556, 479, 407, 464, 222?
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 556, 479, 407, 464, 222.
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}.