Find the LCM of 785, 657, 438, 970 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, 657, 438, 970. So, keep reading to learn more.
Given numbers are 785,657,438,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 785,657,438,970 is 100054530.
Find LCM of 785,657,438,970 with Prime Factorization
2 | 785, 657, 438, 970 |
3 | 785, 657, 219, 485 |
5 | 785, 73, 219, 485 |
73 | 157, 73, 219, 97 |
157, 1, 3, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 73 x 157 x 1 x 3 x 97 = 100054530
Therefore, the lowest common multiple of 785,657,438,970 is 100054530.
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 657 x 438 x 970 = 219119420700
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
657 : 1, 3, 9, 73, 219, 657
438 : 1, 2, 3, 6, 73, 146, 219, 438
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 785,657,438,970, is 1.
Now, the common factors can be found like this.
785:5x 157
657:3x 3x 73
438:2x 3x 73
970:2x 5x 97
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 5x 73 = 2190
Therefore, the value for common factors is 2190.
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 = 219119420700/(1x2190)
LCM = 219119420700/2190
LCM = 100054530
Thus, we can understand that the LCM of 785,657,438,970 is 100054530.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 785, 657, 438, 970?
Answer: LCM of 785, 657, 438, 970 is 100054530.
2. How to calculate the LCM of 785, 657, 438, 970?
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, 657, 438, 970.
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}.