Find the LCM of 785, 351, 689, 281, 416 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 785, 351, 689, 281, 416. So, keep reading to learn more.
Given numbers are 785,351,689,281,416
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,351,689,281,416 is 131313368160.
Find LCM of 785,351,689,281,416 with Prime Factorization
13 | 785, 351, 689, 281, 416 |
785, 27, 53, 281, 32 |
Multiply the prime numbers at the bottom and the left side.
13 x 785 x 27 x 53 x 281 x 32 = 131313368160
Therefore, the lowest common multiple of 785,351,689,281,416 is 131313368160.
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.
785 x 351 x 689 x 281 x 416 = 22191959219040
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.
785 : 1, 5, 157, 785
351 : 1, 3, 9, 13, 27, 39, 117, 351
689 : 1, 13, 53, 689
281 : 1, 281
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,351,689,281,416, is 1.
Now, the common factors can be found like this.
785:5x 157
351:3x 3x 3x 13
689:13x 53
281:281
416:2x 2x 2x 2x 2x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 13 = 169
Therefore, the value for common factors is 169.
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 = 22191959219040/(1x169)
LCM = 22191959219040/169
LCM = 131313368160
Thus, we can understand that the LCM of 785,351,689,281,416 is 131313368160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 351, 689, 281, 416?
Answer: LCM of 785, 351, 689, 281, 416 is 131313368160.
2. How to calculate the LCM of 785, 351, 689, 281, 416?
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 785, 351, 689, 281, 416.
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}.