Find the LCM of 688, 667, 714, 666 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, 667, 714, 666. So, keep reading to learn more.
Given numbers are 688,667,714,666
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,667,714,666 is 18184671792.
Find LCM of 688,667,714,666 with Prime Factorization
2 | 688, 667, 714, 666 |
3 | 344, 667, 357, 333 |
344, 667, 119, 111 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 344 x 667 x 119 x 111 = 18184671792
Therefore, the lowest common multiple of 688,667,714,666 is 18184671792.
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 667 x 714 x 666 = 218216061504
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
667 : 1, 23, 29, 667
714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,667,714,666, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
667:23x 29
714:2x 3x 7x 17
666:2x 3x 3x 37
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 = 218216061504/(1x12)
LCM = 218216061504/12
LCM = 18184671792
Thus, we can understand that the LCM of 688,667,714,666 is 18184671792.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 667, 714, 666?
Answer: LCM of 688, 667, 714, 666 is 18184671792.
2. How to calculate the LCM of 688, 667, 714, 666?
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, 667, 714, 666.
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}.