LCM of 149, 412, 378, 721
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 149, 412, 378, 721 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 149, 412, 378, 721. So, keep reading to learn more.
Given numbers are 149,412,378,721
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 149,412,378,721 is 11602332.
Find LCM of 149,412,378,721 with Prime Factorization
| 2 | 149, 412, 378, 721 |
| 7 | 149, 206, 189, 721 |
| 103 | 149, 206, 27, 103 |
| 149, 2, 27, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 103 x 149 x 2 x 27 x 1 = 11602332
Therefore, the lowest common multiple of 149,412,378,721 is 11602332.
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.
149 x 412 x 378 x 721 = 16730562744
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.
149 : 1, 149
412 : 1, 2, 4, 103, 206, 412
378 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
721 : 1, 7, 103, 721
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 149,412,378,721, is 1.
Now, the common factors can be found like this.
149:149
412:2x 2x 103
378:2x 3x 3x 3x 7
721:7x 103
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 103 = 1442
Therefore, the value for common factors is 1442.
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 = 16730562744/(1x1442)
LCM = 16730562744/1442
LCM = 11602332
Thus, we can understand that the LCM of 149,412,378,721 is 11602332.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 149, 412, 378, 721
1. What is the LCM of 149, 412, 378, 721?
Answer: LCM of 149, 412, 378, 721 is 11602332.
2. How to calculate the LCM of 149, 412, 378, 721?
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 149, 412, 378, 721.
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}.