Find the LCM of 147, 253, 834, 369, 506 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 147, 253, 834, 369, 506. So, keep reading to learn more.
Given numbers are 147,253,834,369,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 147,253,834,369,506 is 1271709054.
Find LCM of 147,253,834,369,506 with Prime Factorization
2 | 147, 253, 834, 369, 506 |
3 | 147, 253, 417, 369, 253 |
11 | 49, 253, 139, 123, 253 |
23 | 49, 23, 139, 123, 23 |
49, 1, 139, 123, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 23 x 49 x 1 x 139 x 123 x 1 = 1271709054
Therefore, the lowest common multiple of 147,253,834,369,506 is 1271709054.
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.
147 x 253 x 834 x 369 x 506 = 5791363031916
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.
147 : 1, 3, 7, 21, 49, 147
253 : 1, 11, 23, 253
834 : 1, 2, 3, 6, 139, 278, 417, 834
369 : 1, 3, 9, 41, 123, 369
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 147,253,834,369,506, is 1.
Now, the common factors can be found like this.
147:3x 7x 7
253:11x 23
834:2x 3x 139
369:3x 3x 41
506:2x 11x 23
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 11x 23 = 4554
Therefore, the value for common factors is 4554.
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 = 5791363031916/(1x4554)
LCM = 5791363031916/4554
LCM = 1271709054
Thus, we can understand that the LCM of 147,253,834,369,506 is 1271709054.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 147, 253, 834, 369, 506?
Answer: LCM of 147, 253, 834, 369, 506 is 1271709054.
2. How to calculate the LCM of 147, 253, 834, 369, 506?
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 147, 253, 834, 369, 506.
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}.