Find the LCM of 829, 955, 561, 822, 674 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 829, 955, 561, 822, 674. So, keep reading to learn more.
Given numbers are 829,955,561,822,674
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,955,561,822,674 is 41011081962510.
Find LCM of 829,955,561,822,674 with Prime Factorization
2 | 829, 955, 561, 822, 674 |
3 | 829, 955, 561, 411, 337 |
829, 955, 187, 137, 337 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 829 x 955 x 187 x 137 x 337 = 41011081962510
Therefore, the lowest common multiple of 829,955,561,822,674 is 41011081962510.
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.
829 x 955 x 561 x 822 x 674 = 246066491775060
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.
829 : 1, 829
955 : 1, 5, 191, 955
561 : 1, 3, 11, 17, 33, 51, 187, 561
822 : 1, 2, 3, 6, 137, 274, 411, 822
674 : 1, 2, 337, 674
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,955,561,822,674, is 1.
Now, the common factors can be found like this.
829:829
955:5x 191
561:3x 11x 17
822:2x 3x 137
674:2x 337
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 246066491775060/(1x6)
LCM = 246066491775060/6
LCM = 41011081962510
Thus, we can understand that the LCM of 829,955,561,822,674 is 41011081962510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 829, 955, 561, 822, 674?
Answer: LCM of 829, 955, 561, 822, 674 is 41011081962510.
2. How to calculate the LCM of 829, 955, 561, 822, 674?
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 829, 955, 561, 822, 674.
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}.