LCM of 884, 596, 294, 948, 561
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 596, 294, 948, 561 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 884, 596, 294, 948, 561. So, keep reading to learn more.
Given numbers are 884,596,294,948,561
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,596,294,948,561 is 16825796988.
Find LCM of 884,596,294,948,561 with Prime Factorization
| 2 | 884, 596, 294, 948, 561 |
| 2 | 442, 298, 147, 474, 561 |
| 3 | 221, 149, 147, 237, 561 |
| 17 | 221, 149, 49, 79, 187 |
| 13, 149, 49, 79, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 13 x 149 x 49 x 79 x 11 = 16825796988
Therefore, the lowest common multiple of 884,596,294,948,561 is 16825796988.
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.
884 x 596 x 294 x 948 x 561 = 82379102053248
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
596 : 1, 2, 4, 149, 298, 596
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
948 : 1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
561 : 1, 3, 11, 17, 33, 51, 187, 561
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,596,294,948,561, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
596:2x 2x 149
294:2x 3x 7x 7
948:2x 2x 3x 79
561:3x 11x 17
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 3x 3x 17 = 4896
Therefore, the value for common factors is 4896.
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 = 82379102053248/(1x4896)
LCM = 82379102053248/4896
LCM = 16825796988
Thus, we can understand that the LCM of 884,596,294,948,561 is 16825796988.
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FAQs on LCM of 884, 596, 294, 948, 561
1. What is the LCM of 884, 596, 294, 948, 561?
Answer: LCM of 884, 596, 294, 948, 561 is 16825796988.
2. How to calculate the LCM of 884, 596, 294, 948, 561?
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 884, 596, 294, 948, 561.
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}.