LCM of 716, 221, 434, 930, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 716, 221, 434, 930, 884 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 716, 221, 434, 930, 884. So, keep reading to learn more.
Given numbers are 716,221,434,930,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,221,434,930,884 is 515058180.
Find LCM of 716,221,434,930,884 with Prime Factorization
| 2 | 716, 221, 434, 930, 884 |
| 2 | 358, 221, 217, 465, 442 |
| 13 | 179, 221, 217, 465, 221 |
| 17 | 179, 17, 217, 465, 17 |
| 31 | 179, 1, 217, 465, 1 |
| 179, 1, 7, 15, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 31 x 179 x 1 x 7 x 15 x 1 = 515058180
Therefore, the lowest common multiple of 716,221,434,930,884 is 515058180.
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.
716 x 221 x 434 x 930 x 884 = 56458617458880
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.
716 : 1, 2, 4, 179, 358, 716
221 : 1, 13, 17, 221
434 : 1, 2, 7, 14, 31, 62, 217, 434
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,221,434,930,884, is 1.
Now, the common factors can be found like this.
716:2x 2x 179
221:13x 17
434:2x 7x 31
930:2x 3x 5x 31
884:2x 2x 13x 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 13x 17x 31 = 109616
Therefore, the value for common factors is 109616.
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 = 56458617458880/(1x109616)
LCM = 56458617458880/109616
LCM = 515058180
Thus, we can understand that the LCM of 716,221,434,930,884 is 515058180.
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FAQs on LCM of 716, 221, 434, 930, 884
1. What is the LCM of 716, 221, 434, 930, 884?
Answer: LCM of 716, 221, 434, 930, 884 is 515058180.
2. How to calculate the LCM of 716, 221, 434, 930, 884?
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 716, 221, 434, 930, 884.
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}.