LCM of 497, 497, 784, 989, 138
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 497, 497, 784, 989, 138 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 497, 497, 784, 989, 138. So, keep reading to learn more.
Given numbers are 497,497,784,989,138
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 497,497,784,989,138 is 165155088.
Find LCM of 497,497,784,989,138 with Prime Factorization
| 2 | 497, 497, 784, 989, 138 |
| 7 | 497, 497, 392, 989, 69 |
| 23 | 71, 71, 56, 989, 69 |
| 71 | 71, 71, 56, 43, 3 |
| 1, 1, 56, 43, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 71 x 1 x 1 x 56 x 43 x 3 = 165155088
Therefore, the lowest common multiple of 497,497,784,989,138 is 165155088.
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.
497 x 497 x 784 x 989 x 138 = 26430429352992
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.
497 : 1, 7, 71, 497
497 : 1, 7, 71, 497
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
989 : 1, 23, 43, 989
138 : 1, 2, 3, 6, 23, 46, 69, 138
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,497,784,989,138, is 1.
Now, the common factors can be found like this.
497:7x 71
497:7x 71
784:2x 2x 2x 2x 7x 7
989:23x 43
138:2x 3x 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 7x 7x 23x 71 = 160034
Therefore, the value for common factors is 160034.
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 = 26430429352992/(1x160034)
LCM = 26430429352992/160034
LCM = 165155088
Thus, we can understand that the LCM of 497,497,784,989,138 is 165155088.
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FAQs on LCM of 497, 497, 784, 989, 138
1. What is the LCM of 497, 497, 784, 989, 138?
Answer: LCM of 497, 497, 784, 989, 138 is 165155088.
2. How to calculate the LCM of 497, 497, 784, 989, 138?
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 497, 497, 784, 989, 138.
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}.