Find the LCM of 355, 759, 682, 792, 348 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 355, 759, 682, 792, 348. So, keep reading to learn more.
Given numbers are 355,759,682,792,348
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,759,682,792,348 is 5813545320.
Find LCM of 355,759,682,792,348 with Prime Factorization
2 | 355, 759, 682, 792, 348 |
2 | 355, 759, 341, 396, 174 |
3 | 355, 759, 341, 198, 87 |
11 | 355, 253, 341, 66, 29 |
355, 23, 31, 6, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 355 x 23 x 31 x 6 x 29 = 5813545320
Therefore, the lowest common multiple of 355,759,682,792,348 is 5813545320.
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.
355 x 759 x 682 x 792 x 348 = 50647606827840
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.
355 : 1, 5, 71, 355
759 : 1, 3, 11, 23, 33, 69, 253, 759
682 : 1, 2, 11, 22, 31, 62, 341, 682
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,759,682,792,348, is 1.
Now, the common factors can be found like this.
355:5x 71
759:3x 11x 23
682:2x 11x 31
792:2x 2x 2x 3x 3x 11
348:2x 2x 3x 29
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 11x 11 = 8712
Therefore, the value for common factors is 8712.
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 = 50647606827840/(1x8712)
LCM = 50647606827840/8712
LCM = 5813545320
Thus, we can understand that the LCM of 355,759,682,792,348 is 5813545320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 759, 682, 792, 348?
Answer: LCM of 355, 759, 682, 792, 348 is 5813545320.
2. How to calculate the LCM of 355, 759, 682, 792, 348?
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 355, 759, 682, 792, 348.
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}.