Find the LCM of 782, 155, 785, 470, 945 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 782, 155, 785, 470, 945. So, keep reading to learn more.
Given numbers are 782,155,785,470,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 782,155,785,470,945 is 169043223510.
Find LCM of 782,155,785,470,945 with Prime Factorization
2 | 782, 155, 785, 470, 945 |
5 | 391, 155, 785, 235, 945 |
391, 31, 157, 47, 189 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 391 x 31 x 157 x 47 x 189 = 169043223510
Therefore, the lowest common multiple of 782,155,785,470,945 is 169043223510.
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.
782 x 155 x 785 x 470 x 945 = 42260805877500
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.
782 : 1, 2, 17, 23, 34, 46, 391, 782
155 : 1, 5, 31, 155
785 : 1, 5, 157, 785
470 : 1, 2, 5, 10, 47, 94, 235, 470
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 782,155,785,470,945, is 1.
Now, the common factors can be found like this.
782:2x 17x 23
155:5x 31
785:5x 157
470:2x 5x 47
945:3x 3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 5 = 250
Therefore, the value for common factors is 250.
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 = 42260805877500/(1x250)
LCM = 42260805877500/250
LCM = 169043223510
Thus, we can understand that the LCM of 782,155,785,470,945 is 169043223510.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 782, 155, 785, 470, 945?
Answer: LCM of 782, 155, 785, 470, 945 is 169043223510.
2. How to calculate the LCM of 782, 155, 785, 470, 945?
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 782, 155, 785, 470, 945.
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}.