LCM of 994, 658, 512, 962, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 994, 658, 512, 962, 356 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 994, 658, 512, 962, 356. So, keep reading to learn more.
Given numbers are 994,658,512,962,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 994,658,512,962,356 is 511987420672.
Find LCM of 994,658,512,962,356 with Prime Factorization
| 2 | 994, 658, 512, 962, 356 |
| 2 | 497, 329, 256, 481, 178 |
| 7 | 497, 329, 128, 481, 89 |
| 71, 47, 128, 481, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 71 x 47 x 128 x 481 x 89 = 511987420672
Therefore, the lowest common multiple of 994,658,512,962,356 is 511987420672.
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.
994 x 658 x 512 x 962 x 356 = 114685182230528
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.
994 : 1, 2, 7, 14, 71, 142, 497, 994
658 : 1, 2, 7, 14, 47, 94, 329, 658
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
962 : 1, 2, 13, 26, 37, 74, 481, 962
356 : 1, 2, 4, 89, 178, 356
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 994,658,512,962,356, is 2.
Now, the common factors can be found like this.
994:2x 7x 71
658:2x 7x 47
512:2x 2x 2x 2x 2x 2x 2x 2x 2
962:2x 13x 37
356:2x 2x 89
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 7 = 112
Therefore, the value for common factors is 112.
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 = 114685182230528/(2x112)
LCM = 114685182230528/224
LCM = 511987420672
Thus, we can understand that the LCM of 994,658,512,962,356 is 511987420672.
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FAQs on LCM of 994, 658, 512, 962, 356
1. What is the LCM of 994, 658, 512, 962, 356?
Answer: LCM of 994, 658, 512, 962, 356 is 511987420672.
2. How to calculate the LCM of 994, 658, 512, 962, 356?
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 994, 658, 512, 962, 356.
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}.