LCM of 966, 316, 284, 653, 298
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 966, 316, 284, 653, 298 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 966, 316, 284, 653, 298. So, keep reading to learn more.
Given numbers are 966,316,284,653,298
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 966,316,284,653,298 is 1054367502636.
Find LCM of 966,316,284,653,298 with Prime Factorization
| 2 | 966, 316, 284, 653, 298 |
| 2 | 483, 158, 142, 653, 149 |
| 483, 79, 71, 653, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 483 x 79 x 71 x 653 x 149 = 1054367502636
Therefore, the lowest common multiple of 966,316,284,653,298 is 1054367502636.
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.
966 x 316 x 284 x 653 x 298 = 16869880042176
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.
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
316 : 1, 2, 4, 79, 158, 316
284 : 1, 2, 4, 71, 142, 284
653 : 1, 653
298 : 1, 2, 149, 298
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 966,316,284,653,298, is 1.
Now, the common factors can be found like this.
966:2x 3x 7x 23
316:2x 2x 79
284:2x 2x 71
653:653
298:2x 149
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 2 = 16
Therefore, the value for common factors is 16.
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 = 16869880042176/(1x16)
LCM = 16869880042176/16
LCM = 1054367502636
Thus, we can understand that the LCM of 966,316,284,653,298 is 1054367502636.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 966, 316, 284, 653, 298
1. What is the LCM of 966, 316, 284, 653, 298?
Answer: LCM of 966, 316, 284, 653, 298 is 1054367502636.
2. How to calculate the LCM of 966, 316, 284, 653, 298?
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 966, 316, 284, 653, 298.
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}.