LCM of 424, 649, 660, 921, 213
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 424, 649, 660, 921, 213 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 424, 649, 660, 921, 213. So, keep reading to learn more.
Given numbers are 424,649,660,921,213
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 424,649,660,921,213 is 89970169080.
Find LCM of 424,649,660,921,213 with Prime Factorization
| 2 | 424, 649, 660, 921, 213 |
| 2 | 212, 649, 330, 921, 213 |
| 3 | 106, 649, 165, 921, 213 |
| 11 | 106, 649, 55, 307, 71 |
| 106, 59, 5, 307, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 106 x 59 x 5 x 307 x 71 = 89970169080
Therefore, the lowest common multiple of 424,649,660,921,213 is 89970169080.
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.
424 x 649 x 660 x 921 x 213 = 35628186955680
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.
424 : 1, 2, 4, 8, 53, 106, 212, 424
649 : 1, 11, 59, 649
660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
921 : 1, 3, 307, 921
213 : 1, 3, 71, 213
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 424,649,660,921,213, is 1.
Now, the common factors can be found like this.
424:2x 2x 2x 53
649:11x 59
660:2x 2x 3x 5x 11
921:3x 307
213:3x 71
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 3x 11 = 396
Therefore, the value for common factors is 396.
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 = 35628186955680/(1x396)
LCM = 35628186955680/396
LCM = 89970169080
Thus, we can understand that the LCM of 424,649,660,921,213 is 89970169080.
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FAQs on LCM of 424, 649, 660, 921, 213
1. What is the LCM of 424, 649, 660, 921, 213?
Answer: LCM of 424, 649, 660, 921, 213 is 89970169080.
2. How to calculate the LCM of 424, 649, 660, 921, 213?
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 424, 649, 660, 921, 213.
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}.