LCM of 362, 724, 726, 627, 568
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 362, 724, 726, 627, 568 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 362, 724, 726, 627, 568. So, keep reading to learn more.
Given numbers are 362,724,726,627,568
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 362,724,726,627,568 is 709066776.
Find LCM of 362,724,726,627,568 with Prime Factorization
| 2 | 362, 724, 726, 627, 568 |
| 2 | 181, 362, 363, 627, 284 |
| 3 | 181, 181, 363, 627, 142 |
| 11 | 181, 181, 121, 209, 142 |
| 181 | 181, 181, 11, 19, 142 |
| 1, 1, 11, 19, 142 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 181 x 1 x 1 x 11 x 19 x 142 = 709066776
Therefore, the lowest common multiple of 362,724,726,627,568 is 709066776.
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.
362 x 724 x 726 x 627 x 568 = 67764093648768
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.
362 : 1, 2, 181, 362
724 : 1, 2, 4, 181, 362, 724
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
627 : 1, 3, 11, 19, 33, 57, 209, 627
568 : 1, 2, 4, 8, 71, 142, 284, 568
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 362,724,726,627,568, is 1.
Now, the common factors can be found like this.
362:2x 181
724:2x 2x 181
726:2x 3x 11x 11
627:3x 11x 19
568:2x 2x 2x 71
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 2x 2x 3x 11x 181 = 95568
Therefore, the value for common factors is 95568.
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 = 67764093648768/(1x95568)
LCM = 67764093648768/95568
LCM = 709066776
Thus, we can understand that the LCM of 362,724,726,627,568 is 709066776.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 362, 724, 726, 627, 568
1. What is the LCM of 362, 724, 726, 627, 568?
Answer: LCM of 362, 724, 726, 627, 568 is 709066776.
2. How to calculate the LCM of 362, 724, 726, 627, 568?
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 362, 724, 726, 627, 568.
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}.