LCM of 782, 171, 844, 404, 210
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 171, 844, 404, 210 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 782, 171, 844, 404, 210. So, keep reading to learn more.
Given numbers are 782,171,844,404,210
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,171,844,404,210 is 199482467940.
Find LCM of 782,171,844,404,210 with Prime Factorization
| 2 | 782, 171, 844, 404, 210 |
| 2 | 391, 171, 422, 202, 105 |
| 3 | 391, 171, 211, 101, 105 |
| 391, 57, 211, 101, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 391 x 57 x 211 x 101 x 35 = 199482467940
Therefore, the lowest common multiple of 782,171,844,404,210 is 199482467940.
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.
782 x 171 x 844 x 404 x 210 = 9575158461120
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
171 : 1, 3, 9, 19, 57, 171
844 : 1, 2, 4, 211, 422, 844
404 : 1, 2, 4, 101, 202, 404
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,171,844,404,210, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
171:3x 3x 19
844:2x 2x 211
404:2x 2x 101
210:2x 3x 5x 7
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 3 = 48
Therefore, the value for common factors is 48.
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 = 9575158461120/(1x48)
LCM = 9575158461120/48
LCM = 199482467940
Thus, we can understand that the LCM of 782,171,844,404,210 is 199482467940.
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FAQs on LCM of 782, 171, 844, 404, 210
1. What is the LCM of 782, 171, 844, 404, 210?
Answer: LCM of 782, 171, 844, 404, 210 is 199482467940.
2. How to calculate the LCM of 782, 171, 844, 404, 210?
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 782, 171, 844, 404, 210.
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}.