LCM of 336, 738, 909, 288, 657
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 336, 738, 909, 288, 657 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 336, 738, 909, 288, 657. So, keep reading to learn more.
Given numbers are 336,738,909,288,657
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 336,738,909,288,657 is 609422688.
Find LCM of 336,738,909,288,657 with Prime Factorization
| 2 | 336, 738, 909, 288, 657 |
| 2 | 168, 369, 909, 144, 657 |
| 2 | 84, 369, 909, 72, 657 |
| 2 | 42, 369, 909, 36, 657 |
| 3 | 21, 369, 909, 18, 657 |
| 3 | 7, 123, 303, 6, 219 |
| 7, 41, 101, 2, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 7 x 41 x 101 x 2 x 73 = 609422688
Therefore, the lowest common multiple of 336,738,909,288,657 is 609422688.
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.
336 x 738 x 909 x 288 x 657 = 42649837396992
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.
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
909 : 1, 3, 9, 101, 303, 909
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
657 : 1, 3, 9, 73, 219, 657
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 336,738,909,288,657, is 3.
Now, the common factors can be found like this.
336:2x 2x 2x 2x 3x 7
738:2x 3x 3x 41
909:3x 3x 101
288:2x 2x 2x 2x 2x 3x 3
657:3x 3x 73
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 2x 3x 3x 3x 3x 3x 3 = 23328
Therefore, the value for common factors is 23328.
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 = 42649837396992/(3x23328)
LCM = 42649837396992/69984
LCM = 609422688
Thus, we can understand that the LCM of 336,738,909,288,657 is 609422688.
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FAQs on LCM of 336, 738, 909, 288, 657
1. What is the LCM of 336, 738, 909, 288, 657?
Answer: LCM of 336, 738, 909, 288, 657 is 609422688.
2. How to calculate the LCM of 336, 738, 909, 288, 657?
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 336, 738, 909, 288, 657.
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}.