LCM of 437, 907, 446, 782, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 437, 907, 446, 782, 884 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 437, 907, 446, 782, 884. So, keep reading to learn more.
Given numbers are 437,907,446,782,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,907,446,782,884 is 78135042388.
Find LCM of 437,907,446,782,884 with Prime Factorization
| 2 | 437, 907, 446, 782, 884 |
| 17 | 437, 907, 223, 391, 442 |
| 23 | 437, 907, 223, 23, 26 |
| 19, 907, 223, 1, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 19 x 907 x 223 x 1 x 26 = 78135042388
Therefore, the lowest common multiple of 437,907,446,782,884 is 78135042388.
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.
437 x 907 x 446 x 782 x 884 = 122203206294832
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.
437 : 1, 19, 23, 437
907 : 1, 907
446 : 1, 2, 223, 446
782 : 1, 2, 17, 23, 34, 46, 391, 782
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,907,446,782,884, is 1.
Now, the common factors can be found like this.
437:19x 23
907:907
446:2x 223
782:2x 17x 23
884:2x 2x 13x 17
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 17x 23 = 1564
Therefore, the value for common factors is 1564.
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 = 122203206294832/(1x1564)
LCM = 122203206294832/1564
LCM = 78135042388
Thus, we can understand that the LCM of 437,907,446,782,884 is 78135042388.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 437, 907, 446, 782, 884
1. What is the LCM of 437, 907, 446, 782, 884?
Answer: LCM of 437, 907, 446, 782, 884 is 78135042388.
2. How to calculate the LCM of 437, 907, 446, 782, 884?
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 437, 907, 446, 782, 884.
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}.