LCM of 735, 509, 169, 923, 423
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 735, 509, 169, 923, 423 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 735, 509, 169, 923, 423. So, keep reading to learn more.
Given numbers are 735,509,169,923,423
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 735,509,169,923,423 is 632949829785.
Find LCM of 735,509,169,923,423 with Prime Factorization
| 3 | 735, 509, 169, 923, 423 |
| 13 | 245, 509, 169, 923, 141 |
| 245, 509, 13, 71, 141 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 245 x 509 x 13 x 71 x 141 = 632949829785
Therefore, the lowest common multiple of 735,509,169,923,423 is 632949829785.
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.
735 x 509 x 169 x 923 x 423 = 24685043361615
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.
735 : 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
509 : 1, 509
169 : 1, 13, 169
923 : 1, 13, 71, 923
423 : 1, 3, 9, 47, 141, 423
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 735,509,169,923,423, is 1.
Now, the common factors can be found like this.
735:3x 5x 7x 7
509:509
169:13x 13
923:13x 71
423:3x 3x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13 = 39
Therefore, the value for common factors is 39.
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 = 24685043361615/(1x39)
LCM = 24685043361615/39
LCM = 632949829785
Thus, we can understand that the LCM of 735,509,169,923,423 is 632949829785.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 735, 509, 169, 923, 423
1. What is the LCM of 735, 509, 169, 923, 423?
Answer: LCM of 735, 509, 169, 923, 423 is 632949829785.
2. How to calculate the LCM of 735, 509, 169, 923, 423?
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 735, 509, 169, 923, 423.
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}.