Find the LCM of 688, 707, 247, 817 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 688, 707, 247, 817. So, keep reading to learn more.
Given numbers are 688,707,247,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,707,247,817 is 120144752.
Find LCM of 688,707,247,817 with Prime Factorization
19 | 688, 707, 247, 817 |
43 | 688, 707, 13, 43 |
16, 707, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
19 x 43 x 16 x 707 x 13 x 1 = 120144752
Therefore, the lowest common multiple of 688,707,247,817 is 120144752.
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.
688 x 707 x 247 x 817 = 98158262384
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.
688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688
707 : 1, 7, 101, 707
247 : 1, 13, 19, 247
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,707,247,817, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
707:7x 101
247:13x 19
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 43 = 817
Therefore, the value for common factors is 817.
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 = 98158262384/(1x817)
LCM = 98158262384/817
LCM = 120144752
Thus, we can understand that the LCM of 688,707,247,817 is 120144752.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 707, 247, 817?
Answer: LCM of 688, 707, 247, 817 is 120144752.
2. How to calculate the LCM of 688, 707, 247, 817?
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 688, 707, 247, 817.
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}.