Find the LCM of 837, 969, 362, 399, 787 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 837, 969, 362, 399, 787. So, keep reading to learn more.
Given numbers are 837,969,362,399,787
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 837,969,362,399,787 is 539149644558.
Find LCM of 837,969,362,399,787 with Prime Factorization
3 | 837, 969, 362, 399, 787 |
19 | 279, 323, 362, 133, 787 |
279, 17, 362, 7, 787 |
Multiply the prime numbers at the bottom and the left side.
3 x 19 x 279 x 17 x 362 x 7 x 787 = 539149644558
Therefore, the lowest common multiple of 837,969,362,399,787 is 539149644558.
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.
837 x 969 x 362 x 399 x 787 = 92194589219418
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.
837 : 1, 3, 9, 27, 31, 93, 279, 837
969 : 1, 3, 17, 19, 51, 57, 323, 969
362 : 1, 2, 181, 362
399 : 1, 3, 7, 19, 21, 57, 133, 399
787 : 1, 787
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 837,969,362,399,787, is 1.
Now, the common factors can be found like this.
837:3x 3x 3x 31
969:3x 17x 19
362:2x 181
399:3x 7x 19
787:787
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 19 = 171
Therefore, the value for common factors is 171.
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 = 92194589219418/(1x171)
LCM = 92194589219418/171
LCM = 539149644558
Thus, we can understand that the LCM of 837,969,362,399,787 is 539149644558.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 837, 969, 362, 399, 787?
Answer: LCM of 837, 969, 362, 399, 787 is 539149644558.
2. How to calculate the LCM of 837, 969, 362, 399, 787?
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 837, 969, 362, 399, 787.
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}.