Find the LCM of 422, 234, 798, 963, 971 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 422, 234, 798, 963, 971. So, keep reading to learn more.
Given numbers are 422,234,798,963,971
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,234,798,963,971 is 682264793574.
Find LCM of 422,234,798,963,971 with Prime Factorization
2 | 422, 234, 798, 963, 971 |
3 | 211, 117, 399, 963, 971 |
3 | 211, 39, 133, 321, 971 |
211, 13, 133, 107, 971 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 211 x 13 x 133 x 107 x 971 = 682264793574
Therefore, the lowest common multiple of 422,234,798,963,971 is 682264793574.
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.
422 x 234 x 798 x 963 x 971 = 73684597705992
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.
422 : 1, 2, 211, 422
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
963 : 1, 3, 9, 107, 321, 963
971 : 1, 971
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,234,798,963,971, is 1.
Now, the common factors can be found like this.
422:2x 211
234:2x 3x 3x 13
798:2x 3x 7x 19
963:3x 3x 107
971:971
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 3x 3x 3 = 108
Therefore, the value for common factors is 108.
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 = 73684597705992/(1x108)
LCM = 73684597705992/108
LCM = 682264793574
Thus, we can understand that the LCM of 422,234,798,963,971 is 682264793574.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 234, 798, 963, 971?
Answer: LCM of 422, 234, 798, 963, 971 is 682264793574.
2. How to calculate the LCM of 422, 234, 798, 963, 971?
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 422, 234, 798, 963, 971.
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}.