Find the LCM of 892, 713, 298, 785 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 892, 713, 298, 785. So, keep reading to learn more.
Given numbers are 892,713,298,785
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 892,713,298,785 is 74389272140.
Find LCM of 892,713,298,785 with Prime Factorization
2 | 892, 713, 298, 785 |
446, 713, 149, 785 |
Multiply the prime numbers at the bottom and the left side.
2 x 446 x 713 x 149 x 785 = 74389272140
Therefore, the lowest common multiple of 892,713,298,785 is 74389272140.
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.
892 x 713 x 298 x 785 = 148778544280
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.
892 : 1, 2, 4, 223, 446, 892
713 : 1, 23, 31, 713
298 : 1, 2, 149, 298
785 : 1, 5, 157, 785
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,713,298,785, is 1.
Now, the common factors can be found like this.
892:2x 2x 223
713:23x 31
298:2x 149
785:5x 157
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 148778544280/(1x2)
LCM = 148778544280/2
LCM = 74389272140
Thus, we can understand that the LCM of 892,713,298,785 is 74389272140.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 892, 713, 298, 785?
Answer: LCM of 892, 713, 298, 785 is 74389272140.
2. How to calculate the LCM of 892, 713, 298, 785?
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 892, 713, 298, 785.
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}.