LCM of 957, 824, 542, 778, 344
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 957, 824, 542, 778, 344 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 957, 824, 542, 778, 344. So, keep reading to learn more.
Given numbers are 957,824,542,778,344
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,824,542,778,344 is 3574592149656.
Find LCM of 957,824,542,778,344 with Prime Factorization
| 2 | 957, 824, 542, 778, 344 |
| 2 | 957, 412, 271, 389, 172 |
| 2 | 957, 206, 271, 389, 86 |
| 957, 103, 271, 389, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 957 x 103 x 271 x 389 x 43 = 3574592149656
Therefore, the lowest common multiple of 957,824,542,778,344 is 3574592149656.
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.
957 x 824 x 542 x 778 x 344 = 114386948788992
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
824 : 1, 2, 4, 8, 103, 206, 412, 824
542 : 1, 2, 271, 542
778 : 1, 2, 389, 778
344 : 1, 2, 4, 8, 43, 86, 172, 344
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,824,542,778,344, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
824:2x 2x 2x 103
542:2x 271
778:2x 389
344:2x 2x 2x 43
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 2x 2 = 32
Therefore, the value for common factors is 32.
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 = 114386948788992/(1x32)
LCM = 114386948788992/32
LCM = 3574592149656
Thus, we can understand that the LCM of 957,824,542,778,344 is 3574592149656.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 957, 824, 542, 778, 344
1. What is the LCM of 957, 824, 542, 778, 344?
Answer: LCM of 957, 824, 542, 778, 344 is 3574592149656.
2. How to calculate the LCM of 957, 824, 542, 778, 344?
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 957, 824, 542, 778, 344.
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}.