LCM of 661, 934, 698, 802, 846
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 661, 934, 698, 802, 846 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 661, 934, 698, 802, 846. So, keep reading to learn more.
Given numbers are 661,934,698,802,846
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,934,698,802,846 is 36547569670698.
Find LCM of 661,934,698,802,846 with Prime Factorization
| 2 | 661, 934, 698, 802, 846 |
| 661, 467, 349, 401, 423 |
Multiply the prime numbers at the bottom and the left side.
2 x 661 x 467 x 349 x 401 x 423 = 36547569670698
Therefore, the lowest common multiple of 661,934,698,802,846 is 36547569670698.
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.
661 x 934 x 698 x 802 x 846 = 292380557365584
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.
661 : 1, 661
934 : 1, 2, 467, 934
698 : 1, 2, 349, 698
802 : 1, 2, 401, 802
846 : 1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,934,698,802,846, is 1.
Now, the common factors can be found like this.
661:661
934:2x 467
698:2x 349
802:2x 401
846:2x 3x 3x 47
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 2 = 8
Therefore, the value for common factors is 8.
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 = 292380557365584/(1x8)
LCM = 292380557365584/8
LCM = 36547569670698
Thus, we can understand that the LCM of 661,934,698,802,846 is 36547569670698.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 661, 934, 698, 802, 846
1. What is the LCM of 661, 934, 698, 802, 846?
Answer: LCM of 661, 934, 698, 802, 846 is 36547569670698.
2. How to calculate the LCM of 661, 934, 698, 802, 846?
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 661, 934, 698, 802, 846.
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}.