LCM of 778, 746, 544, 771
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 778, 746, 544, 771 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 778, 746, 544, 771. So, keep reading to learn more.
Given numbers are 778,746,544,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 778,746,544,771 is 60857164128.
Find LCM of 778,746,544,771 with Prime Factorization
| 2 | 778, 746, 544, 771 |
| 389, 373, 272, 771 |
Multiply the prime numbers at the bottom and the left side.
2 x 389 x 373 x 272 x 771 = 60857164128
Therefore, the lowest common multiple of 778,746,544,771 is 60857164128.
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.
778 x 746 x 544 x 771 = 243428656512
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.
778 : 1, 2, 389, 778
746 : 1, 2, 373, 746
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 778,746,544,771, is 1.
Now, the common factors can be found like this.
778:2x 389
746:2x 373
544:2x 2x 2x 2x 2x 17
771:3x 257
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 243428656512/(1x4)
LCM = 243428656512/4
LCM = 60857164128
Thus, we can understand that the LCM of 778,746,544,771 is 60857164128.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 778, 746, 544, 771
1. What is the LCM of 778, 746, 544, 771?
Answer: LCM of 778, 746, 544, 771 is 60857164128.
2. How to calculate the LCM of 778, 746, 544, 771?
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 778, 746, 544, 771.
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}.