LCM of 646, 535, 782, 467
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 646, 535, 782, 467 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 646, 535, 782, 467. So, keep reading to learn more.
Given numbers are 646,535,782,467
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 646,535,782,467 is 3712197010.
Find LCM of 646,535,782,467 with Prime Factorization
| 2 | 646, 535, 782, 467 |
| 17 | 323, 535, 391, 467 |
| 19, 535, 23, 467 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 19 x 535 x 23 x 467 = 3712197010
Therefore, the lowest common multiple of 646,535,782,467 is 3712197010.
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.
646 x 535 x 782 x 467 = 126214698340
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.
646 : 1, 2, 17, 19, 34, 38, 323, 646
535 : 1, 5, 107, 535
782 : 1, 2, 17, 23, 34, 46, 391, 782
467 : 1, 467
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 646,535,782,467, is 1.
Now, the common factors can be found like this.
646:2x 17x 19
535:5x 107
782:2x 17x 23
467:467
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 126214698340/(1x34)
LCM = 126214698340/34
LCM = 3712197010
Thus, we can understand that the LCM of 646,535,782,467 is 3712197010.
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FAQs on LCM of 646, 535, 782, 467
1. What is the LCM of 646, 535, 782, 467?
Answer: LCM of 646, 535, 782, 467 is 3712197010.
2. How to calculate the LCM of 646, 535, 782, 467?
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 646, 535, 782, 467.
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}.