LCM of 138, 704, 152, 191, 552
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 138, 704, 152, 191, 552 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, 704, 152, 191, 552. So, keep reading to learn more.
Given numbers are 138,704,152,191,552
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 138,704,152,191,552 is 176282304.
Find LCM of 138,704,152,191,552 with Prime Factorization
| 2 | 138, 704, 152, 191, 552 |
| 2 | 69, 352, 76, 191, 276 |
| 2 | 69, 176, 38, 191, 138 |
| 3 | 69, 88, 19, 191, 69 |
| 23 | 23, 88, 19, 191, 23 |
| 1, 88, 19, 191, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 23 x 1 x 88 x 19 x 191 x 1 = 176282304
Therefore, the lowest common multiple of 138,704,152,191,552 is 176282304.
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 704 x 152 x 191 x 552 = 1556925308928
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
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
152 : 1, 2, 4, 8, 19, 38, 76, 152
191 : 1, 191
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 138,704,152,191,552, is 1.
Now, the common factors can be found like this.
138:2x 3x 23
704:2x 2x 2x 2x 2x 2x 11
152:2x 2x 2x 19
191:191
552:2x 2x 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 2x 2x 2x 2x 2x 2x 3x 23 = 8832
Therefore, the value for common factors is 8832.
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 = 1556925308928/(1x8832)
LCM = 1556925308928/8832
LCM = 176282304
Thus, we can understand that the LCM of 138,704,152,191,552 is 176282304.
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FAQs on LCM of 138, 704, 152, 191, 552
1. What is the LCM of 138, 704, 152, 191, 552?
Answer: LCM of 138, 704, 152, 191, 552 is 176282304.
2. How to calculate the LCM of 138, 704, 152, 191, 552?
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, 704, 152, 191, 552.
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}.