LCM of 781, 968, 649, 554
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 781, 968, 649, 554 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, 968, 649, 554. So, keep reading to learn more.
Given numbers are 781,968,649,554
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,968,649,554 is 1123221704.
Find LCM of 781,968,649,554 with Prime Factorization
| 2 | 781, 968, 649, 554 |
| 11 | 781, 484, 649, 277 |
| 71, 44, 59, 277 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 71 x 44 x 59 x 277 = 1123221704
Therefore, the lowest common multiple of 781,968,649,554 is 1123221704.
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 968 x 649 x 554 = 271819652368
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
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
649 : 1, 11, 59, 649
554 : 1, 2, 277, 554
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,968,649,554, is 1.
Now, the common factors can be found like this.
781:11x 71
968:2x 2x 2x 11x 11
649:11x 59
554:2x 277
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 11x 11 = 242
Therefore, the value for common factors is 242.
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 = 271819652368/(1x242)
LCM = 271819652368/242
LCM = 1123221704
Thus, we can understand that the LCM of 781,968,649,554 is 1123221704.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 781, 968, 649, 554
1. What is the LCM of 781, 968, 649, 554?
Answer: LCM of 781, 968, 649, 554 is 1123221704.
2. How to calculate the LCM of 781, 968, 649, 554?
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, 968, 649, 554.
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}.