LCM of 741, 859, 456, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 741, 859, 456, 859 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 741, 859, 456, 859. So, keep reading to learn more.
Given numbers are 741,859,456,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 741,859,456,859 is 5092152.
Find LCM of 741,859,456,859 with Prime Factorization
| 3 | 741, 859, 456, 859 |
| 19 | 247, 859, 152, 859 |
| 859 | 13, 859, 8, 859 |
| 13, 1, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 859 x 13 x 1 x 8 x 1 = 5092152
Therefore, the lowest common multiple of 741,859,456,859 is 5092152.
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.
741 x 859 x 456 x 859 = 249327038376
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.
741 : 1, 3, 13, 19, 39, 57, 247, 741
859 : 1, 859
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 741,859,456,859, is 1.
Now, the common factors can be found like this.
741:3x 13x 19
859:859
456:2x 2x 2x 3x 19
859:859
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 19x 859 = 48963
Therefore, the value for common factors is 48963.
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 = 249327038376/(1x48963)
LCM = 249327038376/48963
LCM = 5092152
Thus, we can understand that the LCM of 741,859,456,859 is 5092152.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 741, 859, 456, 859
1. What is the LCM of 741, 859, 456, 859?
Answer: LCM of 741, 859, 456, 859 is 5092152.
2. How to calculate the LCM of 741, 859, 456, 859?
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 741, 859, 456, 859.
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}.