LCM of 138, 661, 689, 728, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 661, 689, 728, 832 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 138, 661, 689, 728, 832. So, keep reading to learn more.
Given numbers are 138,661,689,728,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,661,689,728,832 is 14078221248.
Find LCM of 138,661,689,728,832 with Prime Factorization
| 2 | 138, 661, 689, 728, 832 |
| 2 | 69, 661, 689, 364, 416 |
| 2 | 69, 661, 689, 182, 208 |
| 13 | 69, 661, 689, 91, 104 |
| 69, 661, 53, 7, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 69 x 661 x 53 x 7 x 8 = 14078221248
Therefore, the lowest common multiple of 138,661,689,728,832 is 14078221248.
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.
138 x 661 x 689 x 728 x 832 = 38067510254592
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.
138 : 1, 2, 3, 6, 23, 46, 69, 138
661 : 1, 661
689 : 1, 13, 53, 689
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,661,689,728,832, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
661:661
689:13x 53
728:2x 2x 2x 7x 13
832:2x 2x 2x 2x 2x 2x 13
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 13x 13 = 2704
Therefore, the value for common factors is 2704.
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 = 38067510254592/(1x2704)
LCM = 38067510254592/2704
LCM = 14078221248
Thus, we can understand that the LCM of 138,661,689,728,832 is 14078221248.
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FAQs on LCM of 138, 661, 689, 728, 832
1. What is the LCM of 138, 661, 689, 728, 832?
Answer: LCM of 138, 661, 689, 728, 832 is 14078221248.
2. How to calculate the LCM of 138, 661, 689, 728, 832?
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 138, 661, 689, 728, 832.
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}.