LCM of 921, 802, 689, 660, 212
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 921, 802, 689, 660, 212 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 921, 802, 689, 660, 212. So, keep reading to learn more.
Given numbers are 921,802,689,660,212
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 921,802,689,660,212 is 55981677180.
Find LCM of 921,802,689,660,212 with Prime Factorization
| 2 | 921, 802, 689, 660, 212 |
| 2 | 921, 401, 689, 330, 106 |
| 3 | 921, 401, 689, 165, 53 |
| 53 | 307, 401, 689, 55, 53 |
| 307, 401, 13, 55, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 53 x 307 x 401 x 13 x 55 x 1 = 55981677180
Therefore, the lowest common multiple of 921,802,689,660,212 is 55981677180.
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.
921 x 802 x 689 x 660 x 212 = 71208693372960
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.
921 : 1, 3, 307, 921
802 : 1, 2, 401, 802
689 : 1, 13, 53, 689
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
212 : 1, 2, 4, 53, 106, 212
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 921,802,689,660,212, is 1.
Now, the common factors can be found like this.
921:3x 307
802:2x 401
689:13x 53
660:2x 2x 3x 5x 11
212:2x 2x 53
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 3x 53 = 1272
Therefore, the value for common factors is 1272.
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 = 71208693372960/(1x1272)
LCM = 71208693372960/1272
LCM = 55981677180
Thus, we can understand that the LCM of 921,802,689,660,212 is 55981677180.
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FAQs on LCM of 921, 802, 689, 660, 212
1. What is the LCM of 921, 802, 689, 660, 212?
Answer: LCM of 921, 802, 689, 660, 212 is 55981677180.
2. How to calculate the LCM of 921, 802, 689, 660, 212?
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 921, 802, 689, 660, 212.
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}.