LCM of 141, 114, 399, 724, 728
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 141, 114, 399, 724, 728 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 141, 114, 399, 724, 728. So, keep reading to learn more.
Given numbers are 141,114,399,724,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 141,114,399,724,728 is 353006472.
Find LCM of 141,114,399,724,728 with Prime Factorization
| 2 | 141, 114, 399, 724, 728 |
| 2 | 141, 57, 399, 362, 364 |
| 3 | 141, 57, 399, 181, 182 |
| 7 | 47, 19, 133, 181, 182 |
| 19 | 47, 19, 19, 181, 26 |
| 47, 1, 1, 181, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 19 x 47 x 1 x 1 x 181 x 26 = 353006472
Therefore, the lowest common multiple of 141,114,399,724,728 is 353006472.
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.
141 x 114 x 399 x 724 x 728 = 3380389975872
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.
141 : 1, 3, 47, 141
114 : 1, 2, 3, 6, 19, 38, 57, 114
399 : 1, 3, 7, 19, 21, 57, 133, 399
724 : 1, 2, 4, 181, 362, 724
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 141,114,399,724,728, is 1.
Now, the common factors can be found like this.
141:3x 47
114:2x 3x 19
399:3x 7x 19
724:2x 2x 181
728:2x 2x 2x 7x 13
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 3x 3x 7x 19 = 9576
Therefore, the value for common factors is 9576.
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 = 3380389975872/(1x9576)
LCM = 3380389975872/9576
LCM = 353006472
Thus, we can understand that the LCM of 141,114,399,724,728 is 353006472.
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FAQs on LCM of 141, 114, 399, 724, 728
1. What is the LCM of 141, 114, 399, 724, 728?
Answer: LCM of 141, 114, 399, 724, 728 is 353006472.
2. How to calculate the LCM of 141, 114, 399, 724, 728?
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 141, 114, 399, 724, 728.
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}.