LCM of 983, 669, 874, 972, 399
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 983, 669, 874, 972, 399 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 983, 669, 874, 972, 399. So, keep reading to learn more.
Given numbers are 983,669,874,972,399
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 983,669,874,972,399 is 651784641732.
Find LCM of 983,669,874,972,399 with Prime Factorization
| 2 | 983, 669, 874, 972, 399 |
| 3 | 983, 669, 437, 486, 399 |
| 19 | 983, 223, 437, 162, 133 |
| 983, 223, 23, 162, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 983 x 223 x 23 x 162 x 7 = 651784641732
Therefore, the lowest common multiple of 983,669,874,972,399 is 651784641732.
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.
983 x 669 x 874 x 972 x 399 = 222910347472344
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.
983 : 1, 983
669 : 1, 3, 223, 669
874 : 1, 2, 19, 23, 38, 46, 437, 874
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
399 : 1, 3, 7, 19, 21, 57, 133, 399
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 983,669,874,972,399, is 1.
Now, the common factors can be found like this.
983:983
669:3x 223
874:2x 19x 23
972:2x 2x 3x 3x 3x 3x 3
399:3x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 19 = 342
Therefore, the value for common factors is 342.
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 = 222910347472344/(1x342)
LCM = 222910347472344/342
LCM = 651784641732
Thus, we can understand that the LCM of 983,669,874,972,399 is 651784641732.
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FAQs on LCM of 983, 669, 874, 972, 399
1. What is the LCM of 983, 669, 874, 972, 399?
Answer: LCM of 983, 669, 874, 972, 399 is 651784641732.
2. How to calculate the LCM of 983, 669, 874, 972, 399?
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 983, 669, 874, 972, 399.
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}.