LCM of 145, 992, 562, 508, 368
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 145, 992, 562, 508, 368 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 145, 992, 562, 508, 368. So, keep reading to learn more.
Given numbers are 145,992,562,508,368
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 145,992,562,508,368 is 118064015840.
Find LCM of 145,992,562,508,368 with Prime Factorization
| 2 | 145, 992, 562, 508, 368 |
| 2 | 145, 496, 281, 254, 184 |
| 2 | 145, 248, 281, 127, 92 |
| 2 | 145, 124, 281, 127, 46 |
| 145, 62, 281, 127, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 145 x 62 x 281 x 127 x 23 = 118064015840
Therefore, the lowest common multiple of 145,992,562,508,368 is 118064015840.
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.
145 x 992 x 562 x 508 x 368 = 15112194027520
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.
145 : 1, 5, 29, 145
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
562 : 1, 2, 281, 562
508 : 1, 2, 4, 127, 254, 508
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 145,992,562,508,368, is 1.
Now, the common factors can be found like this.
145:5x 29
992:2x 2x 2x 2x 2x 31
562:2x 281
508:2x 2x 127
368:2x 2x 2x 2x 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 2 = 128
Therefore, the value for common factors is 128.
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 = 15112194027520/(1x128)
LCM = 15112194027520/128
LCM = 118064015840
Thus, we can understand that the LCM of 145,992,562,508,368 is 118064015840.
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FAQs on LCM of 145, 992, 562, 508, 368
1. What is the LCM of 145, 992, 562, 508, 368?
Answer: LCM of 145, 992, 562, 508, 368 is 118064015840.
2. How to calculate the LCM of 145, 992, 562, 508, 368?
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 145, 992, 562, 508, 368.
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}.