LCM of 884, 980, 523, 689, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 980, 523, 689, 914 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, 980, 523, 689, 914. So, keep reading to learn more.
Given numbers are 884,980,523,689,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,980,523,689,914 is 2743545126140.
Find LCM of 884,980,523,689,914 with Prime Factorization
| 2 | 884, 980, 523, 689, 914 |
| 2 | 442, 490, 523, 689, 457 |
| 13 | 221, 245, 523, 689, 457 |
| 17, 245, 523, 53, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 245 x 523 x 53 x 457 = 2743545126140
Therefore, the lowest common multiple of 884,980,523,689,914 is 2743545126140.
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 980 x 523 x 689 x 914 = 285328693118560
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
980 : 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
523 : 1, 523
689 : 1, 13, 53, 689
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,980,523,689,914, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
980:2x 2x 5x 7x 7
523:523
689:13x 53
914:2x 457
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 13 = 104
Therefore, the value for common factors is 104.
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 = 285328693118560/(1x104)
LCM = 285328693118560/104
LCM = 2743545126140
Thus, we can understand that the LCM of 884,980,523,689,914 is 2743545126140.
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FAQs on LCM of 884, 980, 523, 689, 914
1. What is the LCM of 884, 980, 523, 689, 914?
Answer: LCM of 884, 980, 523, 689, 914 is 2743545126140.
2. How to calculate the LCM of 884, 980, 523, 689, 914?
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, 980, 523, 689, 914.
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}.