LCM of 548, 430, 733, 319, 841
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 548, 430, 733, 319, 841 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 548, 430, 733, 319, 841. So, keep reading to learn more.
Given numbers are 548,430,733,319,841
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 548,430,733,319,841 is 798935417060.
Find LCM of 548,430,733,319,841 with Prime Factorization
| 2 | 548, 430, 733, 319, 841 |
| 29 | 274, 215, 733, 319, 841 |
| 274, 215, 733, 11, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 274 x 215 x 733 x 11 x 29 = 798935417060
Therefore, the lowest common multiple of 548,430,733,319,841 is 798935417060.
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.
548 x 430 x 733 x 319 x 841 = 46338254189480
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.
548 : 1, 2, 4, 137, 274, 548
430 : 1, 2, 5, 10, 43, 86, 215, 430
733 : 1, 733
319 : 1, 11, 29, 319
841 : 1, 29, 841
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,430,733,319,841, is 1.
Now, the common factors can be found like this.
548:2x 2x 137
430:2x 5x 43
733:733
319:11x 29
841:29x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 29 = 58
Therefore, the value for common factors is 58.
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 = 46338254189480/(1x58)
LCM = 46338254189480/58
LCM = 798935417060
Thus, we can understand that the LCM of 548,430,733,319,841 is 798935417060.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 548, 430, 733, 319, 841
1. What is the LCM of 548, 430, 733, 319, 841?
Answer: LCM of 548, 430, 733, 319, 841 is 798935417060.
2. How to calculate the LCM of 548, 430, 733, 319, 841?
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 548, 430, 733, 319, 841.
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}.