LCM of 359, 721, 784, 224, 346
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 359, 721, 784, 224, 346 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 359, 721, 784, 224, 346. So, keep reading to learn more.
Given numbers are 359,721,784,224,346
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,721,784,224,346 is 10030528928.
Find LCM of 359,721,784,224,346 with Prime Factorization
| 2 | 359, 721, 784, 224, 346 |
| 2 | 359, 721, 392, 112, 173 |
| 2 | 359, 721, 196, 56, 173 |
| 2 | 359, 721, 98, 28, 173 |
| 7 | 359, 721, 49, 14, 173 |
| 359, 103, 7, 2, 173 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 359 x 103 x 7 x 2 x 173 = 10030528928
Therefore, the lowest common multiple of 359,721,784,224,346 is 10030528928.
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.
359 x 721 x 784 x 224 x 346 = 15727869359104
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.
359 : 1, 359
721 : 1, 7, 103, 721
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
346 : 1, 2, 173, 346
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,721,784,224,346, is 1.
Now, the common factors can be found like this.
359:359
721:7x 103
784:2x 2x 2x 2x 7x 7
224:2x 2x 2x 2x 2x 7
346:2x 173
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 2x 2x 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 15727869359104/(1x1568)
LCM = 15727869359104/1568
LCM = 10030528928
Thus, we can understand that the LCM of 359,721,784,224,346 is 10030528928.
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FAQs on LCM of 359, 721, 784, 224, 346
1. What is the LCM of 359, 721, 784, 224, 346?
Answer: LCM of 359, 721, 784, 224, 346 is 10030528928.
2. How to calculate the LCM of 359, 721, 784, 224, 346?
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 359, 721, 784, 224, 346.
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}.