Find the LCM of 117, 348, 479, 517, 472 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 117, 348, 479, 517, 472. So, keep reading to learn more.
Given numbers are 117,348,479,517,472
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,348,479,517,472 is 396599273928.
Find LCM of 117,348,479,517,472 with Prime Factorization
2 | 117, 348, 479, 517, 472 |
2 | 117, 174, 479, 517, 236 |
3 | 117, 87, 479, 517, 118 |
39, 29, 479, 517, 118 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 39 x 29 x 479 x 517 x 118 = 396599273928
Therefore, the lowest common multiple of 117,348,479,517,472 is 396599273928.
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.
117 x 348 x 479 x 517 x 472 = 4759191287136
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.
117 : 1, 3, 9, 13, 39, 117
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
479 : 1, 479
517 : 1, 11, 47, 517
472 : 1, 2, 4, 8, 59, 118, 236, 472
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 117,348,479,517,472, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
348:2x 2x 3x 29
479:479
517:11x 47
472:2x 2x 2x 59
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 3 = 12
Therefore, the value for common factors is 12.
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 = 4759191287136/(1x12)
LCM = 4759191287136/12
LCM = 396599273928
Thus, we can understand that the LCM of 117,348,479,517,472 is 396599273928.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 117, 348, 479, 517, 472?
Answer: LCM of 117, 348, 479, 517, 472 is 396599273928.
2. How to calculate the LCM of 117, 348, 479, 517, 472?
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 117, 348, 479, 517, 472.
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}.