LCM of 843, 595, 545, 148, 544
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 843, 595, 545, 148, 544 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 843, 595, 545, 148, 544. So, keep reading to learn more.
Given numbers are 843,595,545,148,544
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,595,545,148,544 is 64732553760.
Find LCM of 843,595,545,148,544 with Prime Factorization
| 2 | 843, 595, 545, 148, 544 |
| 2 | 843, 595, 545, 74, 272 |
| 5 | 843, 595, 545, 37, 136 |
| 17 | 843, 119, 109, 37, 136 |
| 843, 7, 109, 37, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 17 x 843 x 7 x 109 x 37 x 8 = 64732553760
Therefore, the lowest common multiple of 843,595,545,148,544 is 64732553760.
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.
843 x 595 x 545 x 148 x 544 = 22009068278400
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.
843 : 1, 3, 281, 843
595 : 1, 5, 7, 17, 35, 85, 119, 595
545 : 1, 5, 109, 545
148 : 1, 2, 4, 37, 74, 148
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,595,545,148,544, is 1.
Now, the common factors can be found like this.
843:3x 281
595:5x 7x 17
545:5x 109
148:2x 2x 37
544:2x 2x 2x 2x 2x 17
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 5x 17 = 340
Therefore, the value for common factors is 340.
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 = 22009068278400/(1x340)
LCM = 22009068278400/340
LCM = 64732553760
Thus, we can understand that the LCM of 843,595,545,148,544 is 64732553760.
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FAQs on LCM of 843, 595, 545, 148, 544
1. What is the LCM of 843, 595, 545, 148, 544?
Answer: LCM of 843, 595, 545, 148, 544 is 64732553760.
2. How to calculate the LCM of 843, 595, 545, 148, 544?
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 843, 595, 545, 148, 544.
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}.