LCM of 356, 678, 824, 736, 404
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 356, 678, 824, 736, 404 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 356, 678, 824, 736, 404. So, keep reading to learn more.
Given numbers are 356,678,824,736,404
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 356,678,824,736,404 is 231007519968.
Find LCM of 356,678,824,736,404 with Prime Factorization
| 2 | 356, 678, 824, 736, 404 |
| 2 | 178, 339, 412, 368, 202 |
| 2 | 89, 339, 206, 184, 101 |
| 89, 339, 103, 92, 101 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 89 x 339 x 103 x 92 x 101 = 231007519968
Therefore, the lowest common multiple of 356,678,824,736,404 is 231007519968.
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.
356 x 678 x 824 x 736 x 404 = 59137925111808
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.
356 : 1, 2, 4, 89, 178, 356
678 : 1, 2, 3, 6, 113, 226, 339, 678
824 : 1, 2, 4, 8, 103, 206, 412, 824
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
404 : 1, 2, 4, 101, 202, 404
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 356,678,824,736,404, is 2.
Now, the common factors can be found like this.
356:2x 2x 89
678:2x 3x 113
824:2x 2x 2x 103
736:2x 2x 2x 2x 2x 23
404:2x 2x 101
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 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 59137925111808/(2x128)
LCM = 59137925111808/256
LCM = 231007519968
Thus, we can understand that the LCM of 356,678,824,736,404 is 231007519968.
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FAQs on LCM of 356, 678, 824, 736, 404
1. What is the LCM of 356, 678, 824, 736, 404?
Answer: LCM of 356, 678, 824, 736, 404 is 231007519968.
2. How to calculate the LCM of 356, 678, 824, 736, 404?
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 356, 678, 824, 736, 404.
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}.