LCM of 934, 294, 976, 544, 524
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 934, 294, 976, 544, 524 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 934, 294, 976, 544, 524. So, keep reading to learn more.
Given numbers are 934,294,976,544,524
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 934,294,976,544,524 is 298424342496.
Find LCM of 934,294,976,544,524 with Prime Factorization
| 2 | 934, 294, 976, 544, 524 |
| 2 | 467, 147, 488, 272, 262 |
| 2 | 467, 147, 244, 136, 131 |
| 2 | 467, 147, 122, 68, 131 |
| 467, 147, 61, 34, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 467 x 147 x 61 x 34 x 131 = 298424342496
Therefore, the lowest common multiple of 934,294,976,544,524 is 298424342496.
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.
934 x 294 x 976 x 544 x 524 = 76396631678976
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.
934 : 1, 2, 467, 934
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
524 : 1, 2, 4, 131, 262, 524
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 934,294,976,544,524, is 2.
Now, the common factors can be found like this.
934:2x 467
294:2x 3x 7x 7
976:2x 2x 2x 2x 61
544:2x 2x 2x 2x 2x 17
524:2x 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 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 = 76396631678976/(2x128)
LCM = 76396631678976/256
LCM = 298424342496
Thus, we can understand that the LCM of 934,294,976,544,524 is 298424342496.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 934, 294, 976, 544, 524
1. What is the LCM of 934, 294, 976, 544, 524?
Answer: LCM of 934, 294, 976, 544, 524 is 298424342496.
2. How to calculate the LCM of 934, 294, 976, 544, 524?
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 934, 294, 976, 544, 524.
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}.