Find the LCM of 781, 759, 941, 644, 149 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 781, 759, 941, 644, 149. So, keep reading to learn more.
Given numbers are 781,759,941,644,149
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,759,941,644,149 is 211560238428.
Find LCM of 781,759,941,644,149 with Prime Factorization
11 | 781, 759, 941, 644, 149 |
23 | 71, 69, 941, 644, 149 |
71, 3, 941, 28, 149 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 71 x 3 x 941 x 28 x 149 = 211560238428
Therefore, the lowest common multiple of 781,759,941,644,149 is 211560238428.
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.
781 x 759 x 941 x 644 x 149 = 53524740322284
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.
781 : 1, 11, 71, 781
759 : 1, 3, 11, 23, 33, 69, 253, 759
941 : 1, 941
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
149 : 1, 149
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,759,941,644,149, is 1.
Now, the common factors can be found like this.
781:11x 71
759:3x 11x 23
941:941
644:2x 2x 7x 23
149:149
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 23 = 253
Therefore, the value for common factors is 253.
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 = 53524740322284/(1x253)
LCM = 53524740322284/253
LCM = 211560238428
Thus, we can understand that the LCM of 781,759,941,644,149 is 211560238428.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 759, 941, 644, 149?
Answer: LCM of 781, 759, 941, 644, 149 is 211560238428.
2. How to calculate the LCM of 781, 759, 941, 644, 149?
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 781, 759, 941, 644, 149.
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}.