LCM of 782, 374, 752, 873, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 782, 374, 752, 873, 229 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, 374, 752, 873, 229. So, keep reading to learn more.
Given numbers are 782,374,752,873,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,374,752,873,229 is 646601948784.
Find LCM of 782,374,752,873,229 with Prime Factorization
| 2 | 782, 374, 752, 873, 229 |
| 17 | 391, 187, 376, 873, 229 |
| 23, 11, 376, 873, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 23 x 11 x 376 x 873 x 229 = 646601948784
Therefore, the lowest common multiple of 782,374,752,873,229 is 646601948784.
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 374 x 752 x 873 x 229 = 43968932517312
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
374 : 1, 2, 11, 17, 22, 34, 187, 374
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
873 : 1, 3, 9, 97, 291, 873
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,374,752,873,229, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
374:2x 11x 17
752:2x 2x 2x 2x 47
873:3x 3x 97
229:229
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 17 = 68
Therefore, the value for common factors is 68.
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 = 43968932517312/(1x68)
LCM = 43968932517312/68
LCM = 646601948784
Thus, we can understand that the LCM of 782,374,752,873,229 is 646601948784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 782, 374, 752, 873, 229
1. What is the LCM of 782, 374, 752, 873, 229?
Answer: LCM of 782, 374, 752, 873, 229 is 646601948784.
2. How to calculate the LCM of 782, 374, 752, 873, 229?
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, 374, 752, 873, 229.
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}.