LCM of 767, 638, 781, 507, 419
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 767, 638, 781, 507, 419 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 767, 638, 781, 507, 419. So, keep reading to learn more.
Given numbers are 767,638,781,507,419
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 767,638,781,507,419 is 567744612006.
Find LCM of 767,638,781,507,419 with Prime Factorization
| 11 | 767, 638, 781, 507, 419 |
| 13 | 767, 58, 71, 507, 419 |
| 59, 58, 71, 39, 419 |
Multiply the prime numbers at the bottom and the left side.
11 x 13 x 59 x 58 x 71 x 39 x 419 = 567744612006
Therefore, the lowest common multiple of 767,638,781,507,419 is 567744612006.
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.
767 x 638 x 781 x 507 x 419 = 81187479516858
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.
767 : 1, 13, 59, 767
638 : 1, 2, 11, 22, 29, 58, 319, 638
781 : 1, 11, 71, 781
507 : 1, 3, 13, 39, 169, 507
419 : 1, 419
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,638,781,507,419, is 1.
Now, the common factors can be found like this.
767:13x 59
638:2x 11x 29
781:11x 71
507:3x 13x 13
419:419
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 13 = 143
Therefore, the value for common factors is 143.
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 = 81187479516858/(1x143)
LCM = 81187479516858/143
LCM = 567744612006
Thus, we can understand that the LCM of 767,638,781,507,419 is 567744612006.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 767, 638, 781, 507, 419
1. What is the LCM of 767, 638, 781, 507, 419?
Answer: LCM of 767, 638, 781, 507, 419 is 567744612006.
2. How to calculate the LCM of 767, 638, 781, 507, 419?
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 767, 638, 781, 507, 419.
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}.