LCM of 782, 646, 437, 846, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 646, 437, 846, 200 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, 646, 437, 846, 200. So, keep reading to learn more.
Given numbers are 782,646,437,846,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,646,437,846,200 is 628493400.
Find LCM of 782,646,437,846,200 with Prime Factorization
| 2 | 782, 646, 437, 846, 200 |
| 17 | 391, 323, 437, 423, 100 |
| 19 | 23, 19, 437, 423, 100 |
| 23 | 23, 1, 23, 423, 100 |
| 1, 1, 1, 423, 100 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 23 x 1 x 1 x 1 x 423 x 100 = 628493400
Therefore, the lowest common multiple of 782,646,437,846,200 is 628493400.
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 646 x 437 x 846 x 200 = 37352619748800
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
646 : 1, 2, 17, 19, 34, 38, 323, 646
437 : 1, 19, 23, 437
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,646,437,846,200, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
646:2x 17x 19
437:19x 23
846:2x 3x 3x 47
200:2x 2x 2x 5x 5
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 17x 19x 23 = 59432
Therefore, the value for common factors is 59432.
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 = 37352619748800/(1x59432)
LCM = 37352619748800/59432
LCM = 628493400
Thus, we can understand that the LCM of 782,646,437,846,200 is 628493400.
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FAQs on LCM of 782, 646, 437, 846, 200
1. What is the LCM of 782, 646, 437, 846, 200?
Answer: LCM of 782, 646, 437, 846, 200 is 628493400.
2. How to calculate the LCM of 782, 646, 437, 846, 200?
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, 646, 437, 846, 200.
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}.