LCM of 742, 689, 146, 511, 348
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 742, 689, 146, 511, 348 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 742, 689, 146, 511, 348. So, keep reading to learn more.
Given numbers are 742,689,146,511,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 742,689,146,511,348 is 122523492.
Find LCM of 742,689,146,511,348 with Prime Factorization
| 2 | 742, 689, 146, 511, 348 |
| 7 | 371, 689, 73, 511, 174 |
| 53 | 53, 689, 73, 73, 174 |
| 73 | 1, 13, 73, 73, 174 |
| 1, 13, 1, 1, 174 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 73 x 1 x 13 x 1 x 1 x 174 = 122523492
Therefore, the lowest common multiple of 742,689,146,511,348 is 122523492.
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.
742 x 689 x 146 x 511 x 348 = 13273214935344
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.
742 : 1, 2, 7, 14, 53, 106, 371, 742
689 : 1, 13, 53, 689
146 : 1, 2, 73, 146
511 : 1, 7, 73, 511
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 742,689,146,511,348, is 1.
Now, the common factors can be found like this.
742:2x 7x 53
689:13x 53
146:2x 73
511:7x 73
348:2x 2x 3x 29
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 7x 53x 73 = 108332
Therefore, the value for common factors is 108332.
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 = 13273214935344/(1x108332)
LCM = 13273214935344/108332
LCM = 122523492
Thus, we can understand that the LCM of 742,689,146,511,348 is 122523492.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 742, 689, 146, 511, 348
1. What is the LCM of 742, 689, 146, 511, 348?
Answer: LCM of 742, 689, 146, 511, 348 is 122523492.
2. How to calculate the LCM of 742, 689, 146, 511, 348?
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 742, 689, 146, 511, 348.
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}.