Find the LCM of 268, 597, 402, 945, 848 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 268, 597, 402, 945, 848. So, keep reading to learn more.
Given numbers are 268,597,402,945,848
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 268,597,402,945,848 is 10684532880.
Find LCM of 268,597,402,945,848 with Prime Factorization
2 | 268, 597, 402, 945, 848 |
2 | 134, 597, 201, 945, 424 |
3 | 67, 597, 201, 945, 212 |
67 | 67, 199, 67, 315, 212 |
1, 199, 1, 315, 212 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 67 x 1 x 199 x 1 x 315 x 212 = 10684532880
Therefore, the lowest common multiple of 268,597,402,945,848 is 10684532880.
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.
268 x 597 x 402 x 945 x 848 = 51542186613120
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.
268 : 1, 2, 4, 67, 134, 268
597 : 1, 3, 199, 597
402 : 1, 2, 3, 6, 67, 134, 201, 402
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
848 : 1, 2, 4, 8, 16, 53, 106, 212, 424, 848
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 268,597,402,945,848, is 1.
Now, the common factors can be found like this.
268:2x 2x 67
597:3x 199
402:2x 3x 67
945:3x 3x 3x 5x 7
848:2x 2x 2x 2x 53
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 2x 3x 3x 67 = 4824
Therefore, the value for common factors is 4824.
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 = 51542186613120/(1x4824)
LCM = 51542186613120/4824
LCM = 10684532880
Thus, we can understand that the LCM of 268,597,402,945,848 is 10684532880.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 268, 597, 402, 945, 848?
Answer: LCM of 268, 597, 402, 945, 848 is 10684532880.
2. How to calculate the LCM of 268, 597, 402, 945, 848?
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 268, 597, 402, 945, 848.
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}.