Find the LCM of 732, 598, 962, 369 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 732, 598, 962, 369. So, keep reading to learn more.
Given numbers are 732,598,962,369
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 732,598,962,369 is 996068268.
Find LCM of 732,598,962,369 with Prime Factorization
2 | 732, 598, 962, 369 |
3 | 366, 299, 481, 369 |
13 | 122, 299, 481, 123 |
122, 23, 37, 123 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 122 x 23 x 37 x 123 = 996068268
Therefore, the lowest common multiple of 732,598,962,369 is 996068268.
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.
732 x 598 x 962 x 369 = 155386649808
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.
732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732
598 : 1, 2, 13, 23, 26, 46, 299, 598
962 : 1, 2, 13, 26, 37, 74, 481, 962
369 : 1, 3, 9, 41, 123, 369
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 732,598,962,369, is 1.
Now, the common factors can be found like this.
732:2x 2x 3x 61
598:2x 13x 23
962:2x 13x 37
369:3x 3x 41
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 13 = 156
Therefore, the value for common factors is 156.
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 = 155386649808/(1x156)
LCM = 155386649808/156
LCM = 996068268
Thus, we can understand that the LCM of 732,598,962,369 is 996068268.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 732, 598, 962, 369?
Answer: LCM of 732, 598, 962, 369 is 996068268.
2. How to calculate the LCM of 732, 598, 962, 369?
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 732, 598, 962, 369.
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}.