LCM of 842, 660, 893, 605, 988
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 842, 660, 893, 605, 988 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 842, 660, 893, 605, 988. So, keep reading to learn more.
Given numbers are 842,660,893,605,988
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 842,660,893,605,988 is 35482444140.
Find LCM of 842,660,893,605,988 with Prime Factorization
| 2 | 842, 660, 893, 605, 988 |
| 2 | 421, 330, 893, 605, 494 |
| 5 | 421, 165, 893, 605, 247 |
| 11 | 421, 33, 893, 121, 247 |
| 19 | 421, 3, 893, 11, 247 |
| 421, 3, 47, 11, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 19 x 421 x 3 x 47 x 11 x 13 = 35482444140
Therefore, the lowest common multiple of 842,660,893,605,988 is 35482444140.
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.
842 x 660 x 893 x 605 x 988 = 296633233010400
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.
842 : 1, 2, 421, 842
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
893 : 1, 19, 47, 893
605 : 1, 5, 11, 55, 121, 605
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 842,660,893,605,988, is 1.
Now, the common factors can be found like this.
842:2x 421
660:2x 2x 3x 5x 11
893:19x 47
605:5x 11x 11
988:2x 2x 13x 19
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 5x 11x 19 = 8360
Therefore, the value for common factors is 8360.
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 = 296633233010400/(1x8360)
LCM = 296633233010400/8360
LCM = 35482444140
Thus, we can understand that the LCM of 842,660,893,605,988 is 35482444140.
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FAQs on LCM of 842, 660, 893, 605, 988
1. What is the LCM of 842, 660, 893, 605, 988?
Answer: LCM of 842, 660, 893, 605, 988 is 35482444140.
2. How to calculate the LCM of 842, 660, 893, 605, 988?
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 842, 660, 893, 605, 988.
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}.