LCM of 540, 697, 167, 896, 709
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 540, 697, 167, 896, 709 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 540, 697, 167, 896, 709. So, keep reading to learn more.
Given numbers are 540,697,167,896,709
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 540,697,167,896,709 is 9982452735360.
Find LCM of 540,697,167,896,709 with Prime Factorization
| 2 | 540, 697, 167, 896, 709 |
| 2 | 270, 697, 167, 448, 709 |
| 135, 697, 167, 224, 709 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 135 x 697 x 167 x 224 x 709 = 9982452735360
Therefore, the lowest common multiple of 540,697,167,896,709 is 9982452735360.
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.
540 x 697 x 167 x 896 x 709 = 39929810941440
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.
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
697 : 1, 17, 41, 697
167 : 1, 167
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
709 : 1, 709
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 540,697,167,896,709, is 1.
Now, the common factors can be found like this.
540:2x 2x 3x 3x 3x 5
697:17x 41
167:167
896:2x 2x 2x 2x 2x 2x 2x 7
709:709
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 = 39929810941440/(1x4)
LCM = 39929810941440/4
LCM = 9982452735360
Thus, we can understand that the LCM of 540,697,167,896,709 is 9982452735360.
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FAQs on LCM of 540, 697, 167, 896, 709
1. What is the LCM of 540, 697, 167, 896, 709?
Answer: LCM of 540, 697, 167, 896, 709 is 9982452735360.
2. How to calculate the LCM of 540, 697, 167, 896, 709?
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 540, 697, 167, 896, 709.
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}.