Find the LCM of 154, 742, 931, 315, 781 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 154, 742, 931, 315, 781. So, keep reading to learn more.
Given numbers are 154,742,931,315,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 154,742,931,315,781 is 3468319470.
Find LCM of 154,742,931,315,781 with Prime Factorization
2 | 154, 742, 931, 315, 781 |
7 | 77, 371, 931, 315, 781 |
11 | 11, 53, 133, 45, 781 |
1, 53, 133, 45, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 11 x 1 x 53 x 133 x 45 x 71 = 3468319470
Therefore, the lowest common multiple of 154,742,931,315,781 is 3468319470.
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.
154 x 742 x 931 x 315 x 781 = 26171938720620
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.
154 : 1, 2, 7, 11, 14, 22, 77, 154
742 : 1, 2, 7, 14, 53, 106, 371, 742
931 : 1, 7, 19, 49, 133, 931
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,742,931,315,781, is 1.
Now, the common factors can be found like this.
154:2x 7x 11
742:2x 7x 53
931:7x 7x 19
315:3x 3x 5x 7
781:11x 71
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 7x 7x 11 = 7546
Therefore, the value for common factors is 7546.
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 = 26171938720620/(1x7546)
LCM = 26171938720620/7546
LCM = 3468319470
Thus, we can understand that the LCM of 154,742,931,315,781 is 3468319470.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 154, 742, 931, 315, 781?
Answer: LCM of 154, 742, 931, 315, 781 is 3468319470.
2. How to calculate the LCM of 154, 742, 931, 315, 781?
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 154, 742, 931, 315, 781.
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}.