LCM of 847, 968, 493, 781
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 968, 493, 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 847, 968, 493, 781. So, keep reading to learn more.
Given numbers are 847,968,493,781
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,968,493,781 is 237180328.
Find LCM of 847,968,493,781 with Prime Factorization
| 11 | 847, 968, 493, 781 |
| 11 | 77, 88, 493, 71 |
| 7, 8, 493, 71 |
Multiply the prime numbers at the bottom and the left side.
11 x 11 x 7 x 8 x 493 x 71 = 237180328
Therefore, the lowest common multiple of 847,968,493,781 is 237180328.
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.
847 x 968 x 493 x 781 = 315687016568
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.
847 : 1, 7, 11, 77, 121, 847
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
493 : 1, 17, 29, 493
781 : 1, 11, 71, 781
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,968,493,781, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
968:2x 2x 2x 11x 11
493:17x 29
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.
11x 11x 11 = 1331
Therefore, the value for common factors is 1331.
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 = 315687016568/(1x1331)
LCM = 315687016568/1331
LCM = 237180328
Thus, we can understand that the LCM of 847,968,493,781 is 237180328.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 847, 968, 493, 781
1. What is the LCM of 847, 968, 493, 781?
Answer: LCM of 847, 968, 493, 781 is 237180328.
2. How to calculate the LCM of 847, 968, 493, 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 847, 968, 493, 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}.