LCM of 546, 944, 722, 221, 751
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 546, 944, 722, 221, 751 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 546, 944, 722, 221, 751. So, keep reading to learn more.
Given numbers are 546,944,722,221,751
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 546,944,722,221,751 is 1187765486544.
Find LCM of 546,944,722,221,751 with Prime Factorization
| 2 | 546, 944, 722, 221, 751 |
| 13 | 273, 472, 361, 221, 751 |
| 21, 472, 361, 17, 751 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 21 x 472 x 361 x 17 x 751 = 1187765486544
Therefore, the lowest common multiple of 546,944,722,221,751 is 1187765486544.
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.
546 x 944 x 722 x 221 x 751 = 61763805300288
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.
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
944 : 1, 2, 4, 8, 16, 59, 118, 236, 472, 944
722 : 1, 2, 19, 38, 361, 722
221 : 1, 13, 17, 221
751 : 1, 751
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,944,722,221,751, is 1.
Now, the common factors can be found like this.
546:2x 3x 7x 13
944:2x 2x 2x 2x 59
722:2x 19x 19
221:13x 17
751:751
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 13 = 52
Therefore, the value for common factors is 52.
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 = 61763805300288/(1x52)
LCM = 61763805300288/52
LCM = 1187765486544
Thus, we can understand that the LCM of 546,944,722,221,751 is 1187765486544.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 546, 944, 722, 221, 751
1. What is the LCM of 546, 944, 722, 221, 751?
Answer: LCM of 546, 944, 722, 221, 751 is 1187765486544.
2. How to calculate the LCM of 546, 944, 722, 221, 751?
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 546, 944, 722, 221, 751.
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}.