LCM of 169, 754, 595, 545
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 169, 754, 595, 545 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 169, 754, 595, 545. So, keep reading to learn more.
Given numbers are 169,754,595,545
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 169,754,595,545 is 635708710.
Find LCM of 169,754,595,545 with Prime Factorization
| 5 | 169, 754, 595, 545 |
| 13 | 169, 754, 119, 109 |
| 13, 58, 119, 109 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 13 x 58 x 119 x 109 = 635708710
Therefore, the lowest common multiple of 169,754,595,545 is 635708710.
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.
169 x 754 x 595 x 545 = 41321066150
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.
169 : 1, 13, 169
754 : 1, 2, 13, 26, 29, 58, 377, 754
595 : 1, 5, 7, 17, 35, 85, 119, 595
545 : 1, 5, 109, 545
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 169,754,595,545, is 1.
Now, the common factors can be found like this.
169:13x 13
754:2x 13x 29
595:5x 7x 17
545:5x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13 = 65
Therefore, the value for common factors is 65.
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 = 41321066150/(1x65)
LCM = 41321066150/65
LCM = 635708710
Thus, we can understand that the LCM of 169,754,595,545 is 635708710.
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FAQs on LCM of 169, 754, 595, 545
1. What is the LCM of 169, 754, 595, 545?
Answer: LCM of 169, 754, 595, 545 is 635708710.
2. How to calculate the LCM of 169, 754, 595, 545?
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 169, 754, 595, 545.
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}.