LCM of 595, 548, 340, 297, 921
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 548, 340, 297, 921 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 595, 548, 340, 297, 921. So, keep reading to learn more.
Given numbers are 595,548,340,297,921
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,548,340,297,921 is 29729824740.
Find LCM of 595,548,340,297,921 with Prime Factorization
| 2 | 595, 548, 340, 297, 921 |
| 2 | 595, 274, 170, 297, 921 |
| 3 | 595, 137, 85, 297, 921 |
| 5 | 595, 137, 85, 99, 307 |
| 17 | 119, 137, 17, 99, 307 |
| 7, 137, 1, 99, 307 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 7 x 137 x 1 x 99 x 307 = 29729824740
Therefore, the lowest common multiple of 595,548,340,297,921 is 29729824740.
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.
595 x 548 x 340 x 297 x 921 = 30324421234800
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
548 : 1, 2, 4, 137, 274, 548
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
297 : 1, 3, 9, 11, 27, 33, 99, 297
921 : 1, 3, 307, 921
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,548,340,297,921, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
548:2x 2x 137
340:2x 2x 5x 17
297:3x 3x 3x 11
921:3x 307
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 3x 5x 17 = 1020
Therefore, the value for common factors is 1020.
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 = 30324421234800/(1x1020)
LCM = 30324421234800/1020
LCM = 29729824740
Thus, we can understand that the LCM of 595,548,340,297,921 is 29729824740.
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FAQs on LCM of 595, 548, 340, 297, 921
1. What is the LCM of 595, 548, 340, 297, 921?
Answer: LCM of 595, 548, 340, 297, 921 is 29729824740.
2. How to calculate the LCM of 595, 548, 340, 297, 921?
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 595, 548, 340, 297, 921.
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}.