Find the LCM of 688, 745, 283, 283, 307 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, 745, 283, 283, 307. So, keep reading to learn more.
Given numbers are 688,745,283,283,307
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,745,283,283,307 is 44531725360.
Find LCM of 688,745,283,283,307 with Prime Factorization
283 | 688, 745, 283, 283, 307 |
688, 745, 1, 1, 307 |
Multiply the prime numbers at the bottom and the left side.
283 x 688 x 745 x 1 x 1 x 307 = 44531725360
Therefore, the lowest common multiple of 688,745,283,283,307 is 44531725360.
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 745 x 283 x 283 x 307 = 12602478276880
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
745 : 1, 5, 149, 745
283 : 1, 283
283 : 1, 283
307 : 1, 307
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,745,283,283,307, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
745:5x 149
283:283
283:283
307:307
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
283 = 283
Therefore, the value for common factors is 283.
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 = 12602478276880/(1x283)
LCM = 12602478276880/283
LCM = 44531725360
Thus, we can understand that the LCM of 688,745,283,283,307 is 44531725360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 745, 283, 283, 307?
Answer: LCM of 688, 745, 283, 283, 307 is 44531725360.
2. How to calculate the LCM of 688, 745, 283, 283, 307?
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, 745, 283, 283, 307.
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}.