LCM of 560, 618, 718, 699
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 560, 618, 718, 699 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 560, 618, 718, 699. So, keep reading to learn more.
Given numbers are 560,618,718,699
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 560,618,718,699 is 14474276880.
Find LCM of 560,618,718,699 with Prime Factorization
| 2 | 560, 618, 718, 699 |
| 3 | 280, 309, 359, 699 |
| 280, 103, 359, 233 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 280 x 103 x 359 x 233 = 14474276880
Therefore, the lowest common multiple of 560,618,718,699 is 14474276880.
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.
560 x 618 x 718 x 699 = 173691322560
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.
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
618 : 1, 2, 3, 6, 103, 206, 309, 618
718 : 1, 2, 359, 718
699 : 1, 3, 233, 699
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,618,718,699, is 1.
Now, the common factors can be found like this.
560:2x 2x 2x 2x 5x 7
618:2x 3x 103
718:2x 359
699:3x 233
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 3 = 12
Therefore, the value for common factors is 12.
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 = 173691322560/(1x12)
LCM = 173691322560/12
LCM = 14474276880
Thus, we can understand that the LCM of 560,618,718,699 is 14474276880.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 560, 618, 718, 699
1. What is the LCM of 560, 618, 718, 699?
Answer: LCM of 560, 618, 718, 699 is 14474276880.
2. How to calculate the LCM of 560, 618, 718, 699?
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 560, 618, 718, 699.
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}.