LCM of 537, 626, 414, 812, 644
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 537, 626, 414, 812, 644 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 537, 626, 414, 812, 644. So, keep reading to learn more.
Given numbers are 537,626,414,812,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 537,626,414,812,644 is 9417242268.
Find LCM of 537,626,414,812,644 with Prime Factorization
| 2 | 537, 626, 414, 812, 644 |
| 2 | 537, 313, 207, 406, 322 |
| 3 | 537, 313, 207, 203, 161 |
| 7 | 179, 313, 69, 203, 161 |
| 23 | 179, 313, 69, 29, 23 |
| 179, 313, 3, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 23 x 179 x 313 x 3 x 29 x 1 = 9417242268
Therefore, the lowest common multiple of 537,626,414,812,644 is 9417242268.
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.
537 x 626 x 414 x 812 x 644 = 72776448247104
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.
537 : 1, 3, 179, 537
626 : 1, 2, 313, 626
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 537,626,414,812,644, is 1.
Now, the common factors can be found like this.
537:3x 179
626:2x 313
414:2x 3x 3x 23
812:2x 2x 7x 29
644:2x 2x 7x 23
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 2x 2x 3x 7x 23 = 7728
Therefore, the value for common factors is 7728.
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 = 72776448247104/(1x7728)
LCM = 72776448247104/7728
LCM = 9417242268
Thus, we can understand that the LCM of 537,626,414,812,644 is 9417242268.
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FAQs on LCM of 537, 626, 414, 812, 644
1. What is the LCM of 537, 626, 414, 812, 644?
Answer: LCM of 537, 626, 414, 812, 644 is 9417242268.
2. How to calculate the LCM of 537, 626, 414, 812, 644?
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 537, 626, 414, 812, 644.
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}.