Find the LCM of 157, 760, 767, 786, 450 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 157, 760, 767, 786, 450. So, keep reading to learn more.
Given numbers are 157,760,767,786,450
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 157,760,767,786,450 is 539501203800.
Find LCM of 157,760,767,786,450 with Prime Factorization
2 | 157, 760, 767, 786, 450 |
3 | 157, 380, 767, 393, 225 |
5 | 157, 380, 767, 131, 75 |
157, 76, 767, 131, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 157 x 76 x 767 x 131 x 15 = 539501203800
Therefore, the lowest common multiple of 157,760,767,786,450 is 539501203800.
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.
157 x 760 x 767 x 786 x 450 = 32370072228000
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.
157 : 1, 157
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
767 : 1, 13, 59, 767
786 : 1, 2, 3, 6, 131, 262, 393, 786
450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 157,760,767,786,450, is 1.
Now, the common factors can be found like this.
157:157
760:2x 2x 2x 5x 19
767:13x 59
786:2x 3x 131
450:2x 3x 3x 5x 5
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 3x 5 = 60
Therefore, the value for common factors is 60.
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 = 32370072228000/(1x60)
LCM = 32370072228000/60
LCM = 539501203800
Thus, we can understand that the LCM of 157,760,767,786,450 is 539501203800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 157, 760, 767, 786, 450?
Answer: LCM of 157, 760, 767, 786, 450 is 539501203800.
2. How to calculate the LCM of 157, 760, 767, 786, 450?
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 157, 760, 767, 786, 450.
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}.