LCM of 119, 731, 294, 278, 262
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 119, 731, 294, 278, 262 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 119, 731, 294, 278, 262. So, keep reading to learn more.
Given numbers are 119,731,294,278,262
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 119,731,294,278,262 is 3913369026.
Find LCM of 119,731,294,278,262 with Prime Factorization
| 2 | 119, 731, 294, 278, 262 |
| 7 | 119, 731, 147, 139, 131 |
| 17 | 17, 731, 21, 139, 131 |
| 1, 43, 21, 139, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 17 x 1 x 43 x 21 x 139 x 131 = 3913369026
Therefore, the lowest common multiple of 119,731,294,278,262 is 3913369026.
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.
119 x 731 x 294 x 278 x 262 = 1862763656376
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.
119 : 1, 7, 17, 119
731 : 1, 17, 43, 731
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
278 : 1, 2, 139, 278
262 : 1, 2, 131, 262
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 119,731,294,278,262, is 1.
Now, the common factors can be found like this.
119:7x 17
731:17x 43
294:2x 3x 7x 7
278:2x 139
262:2x 131
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 7x 17 = 476
Therefore, the value for common factors is 476.
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 = 1862763656376/(1x476)
LCM = 1862763656376/476
LCM = 3913369026
Thus, we can understand that the LCM of 119,731,294,278,262 is 3913369026.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 119, 731, 294, 278, 262
1. What is the LCM of 119, 731, 294, 278, 262?
Answer: LCM of 119, 731, 294, 278, 262 is 3913369026.
2. How to calculate the LCM of 119, 731, 294, 278, 262?
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 119, 731, 294, 278, 262.
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}.