LCM of 822, 506, 726, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 822, 506, 726, 968 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 822, 506, 726, 968. So, keep reading to learn more.
Given numbers are 822,506,726,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 822,506,726,968 is 9150504.
Find LCM of 822,506,726,968 with Prime Factorization
| 2 | 822, 506, 726, 968 |
| 3 | 411, 253, 363, 484 |
| 11 | 137, 253, 121, 484 |
| 11 | 137, 23, 11, 44 |
| 137, 23, 1, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 137 x 23 x 1 x 4 = 9150504
Therefore, the lowest common multiple of 822,506,726,968 is 9150504.
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.
822 x 506 x 726 x 968 = 292303699776
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.
822 : 1, 2, 3, 6, 137, 274, 411, 822
506 : 1, 2, 11, 22, 23, 46, 253, 506
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 822,506,726,968, is 2.
Now, the common factors can be found like this.
822:2x 3x 137
506:2x 11x 23
726:2x 3x 11x 11
968:2x 2x 2x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 11x 11x 11 = 15972
Therefore, the value for common factors is 15972.
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 = 292303699776/(2x15972)
LCM = 292303699776/31944
LCM = 9150504
Thus, we can understand that the LCM of 822,506,726,968 is 9150504.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 822, 506, 726, 968
1. What is the LCM of 822, 506, 726, 968?
Answer: LCM of 822, 506, 726, 968 is 9150504.
2. How to calculate the LCM of 822, 506, 726, 968?
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 822, 506, 726, 968.
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}.