LCM of 964, 385, 834, 429, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 385, 834, 429, 658 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 964, 385, 834, 429, 658. So, keep reading to learn more.
Given numbers are 964,385,834,429,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,385,834,429,658 is 94561647180.
Find LCM of 964,385,834,429,658 with Prime Factorization
| 2 | 964, 385, 834, 429, 658 |
| 3 | 482, 385, 417, 429, 329 |
| 7 | 482, 385, 139, 143, 329 |
| 11 | 482, 55, 139, 143, 47 |
| 482, 5, 139, 13, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 482 x 5 x 139 x 13 x 47 = 94561647180
Therefore, the lowest common multiple of 964,385,834,429,658 is 94561647180.
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.
964 x 385 x 834 x 429 x 658 = 87374961994320
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.
964 : 1, 2, 4, 241, 482, 964
385 : 1, 5, 7, 11, 35, 55, 77, 385
834 : 1, 2, 3, 6, 139, 278, 417, 834
429 : 1, 3, 11, 13, 33, 39, 143, 429
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,385,834,429,658, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
385:5x 7x 11
834:2x 3x 139
429:3x 11x 13
658:2x 7x 47
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 3x 7x 11 = 924
Therefore, the value for common factors is 924.
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 = 87374961994320/(1x924)
LCM = 87374961994320/924
LCM = 94561647180
Thus, we can understand that the LCM of 964,385,834,429,658 is 94561647180.
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FAQs on LCM of 964, 385, 834, 429, 658
1. What is the LCM of 964, 385, 834, 429, 658?
Answer: LCM of 964, 385, 834, 429, 658 is 94561647180.
2. How to calculate the LCM of 964, 385, 834, 429, 658?
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 964, 385, 834, 429, 658.
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}.