LCM of 962, 124, 736, 529, 224
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 962, 124, 736, 529, 224 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 962, 124, 736, 529, 224. So, keep reading to learn more.
Given numbers are 962,124,736,529,224
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 962,124,736,529,224 is 1766893856.
Find LCM of 962,124,736,529,224 with Prime Factorization
| 2 | 962, 124, 736, 529, 224 |
| 2 | 481, 62, 368, 529, 112 |
| 2 | 481, 31, 184, 529, 56 |
| 2 | 481, 31, 92, 529, 28 |
| 2 | 481, 31, 46, 529, 14 |
| 23 | 481, 31, 23, 529, 7 |
| 481, 31, 1, 23, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 23 x 481 x 31 x 1 x 23 x 7 = 1766893856
Therefore, the lowest common multiple of 962,124,736,529,224 is 1766893856.
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.
962 x 124 x 736 x 529 x 224 = 10403471024128
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.
962 : 1, 2, 13, 26, 37, 74, 481, 962
124 : 1, 2, 4, 31, 62, 124
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
529 : 1, 23, 529
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 962,124,736,529,224, is 1.
Now, the common factors can be found like this.
962:2x 13x 37
124:2x 2x 31
736:2x 2x 2x 2x 2x 23
529:23x 23
224:2x 2x 2x 2x 2x 7
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 2x 23 = 5888
Therefore, the value for common factors is 5888.
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 = 10403471024128/(1x5888)
LCM = 10403471024128/5888
LCM = 1766893856
Thus, we can understand that the LCM of 962,124,736,529,224 is 1766893856.
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FAQs on LCM of 962, 124, 736, 529, 224
1. What is the LCM of 962, 124, 736, 529, 224?
Answer: LCM of 962, 124, 736, 529, 224 is 1766893856.
2. How to calculate the LCM of 962, 124, 736, 529, 224?
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 962, 124, 736, 529, 224.
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}.