LCM of 783, 716, 271, 179, 788
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 783, 716, 271, 179, 788 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 783, 716, 271, 179, 788. So, keep reading to learn more.
Given numbers are 783,716,271,179,788
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 783,716,271,179,788 is 29930247036.
Find LCM of 783,716,271,179,788 with Prime Factorization
| 2 | 783, 716, 271, 179, 788 |
| 2 | 783, 358, 271, 179, 394 |
| 179 | 783, 179, 271, 179, 197 |
| 783, 1, 271, 1, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 179 x 783 x 1 x 271 x 1 x 197 = 29930247036
Therefore, the lowest common multiple of 783,716,271,179,788 is 29930247036.
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.
783 x 716 x 271 x 179 x 788 = 21430056877776
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.
783 : 1, 3, 9, 27, 29, 87, 261, 783
716 : 1, 2, 4, 179, 358, 716
271 : 1, 271
179 : 1, 179
788 : 1, 2, 4, 197, 394, 788
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 783,716,271,179,788, is 1.
Now, the common factors can be found like this.
783:3x 3x 3x 29
716:2x 2x 179
271:271
179:179
788:2x 2x 197
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 179 = 716
Therefore, the value for common factors is 716.
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 = 21430056877776/(1x716)
LCM = 21430056877776/716
LCM = 29930247036
Thus, we can understand that the LCM of 783,716,271,179,788 is 29930247036.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 783, 716, 271, 179, 788
1. What is the LCM of 783, 716, 271, 179, 788?
Answer: LCM of 783, 716, 271, 179, 788 is 29930247036.
2. How to calculate the LCM of 783, 716, 271, 179, 788?
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 783, 716, 271, 179, 788.
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}.