Find the LCM of 688, 602, 756, 914 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, 602, 756, 914. So, keep reading to learn more.
Given numbers are 688,602,756,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,602,756,914 is 59424624.
Find LCM of 688,602,756,914 with Prime Factorization
2 | 688, 602, 756, 914 |
2 | 344, 301, 378, 457 |
7 | 172, 301, 189, 457 |
43 | 172, 43, 27, 457 |
4, 1, 27, 457 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 43 x 4 x 1 x 27 x 457 = 59424624
Therefore, the lowest common multiple of 688,602,756,914 is 59424624.
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 602 x 756 x 914 = 286188989184
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
602 : 1, 2, 7, 14, 43, 86, 301, 602
756 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
914 : 1, 2, 457, 914
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,602,756,914, is 2.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
602:2x 7x 43
756:2x 2x 3x 3x 3x 7
914:2x 457
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 2x 7x 43 = 2408
Therefore, the value for common factors is 2408.
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 = 286188989184/(2x2408)
LCM = 286188989184/4816
LCM = 59424624
Thus, we can understand that the LCM of 688,602,756,914 is 59424624.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 602, 756, 914?
Answer: LCM of 688, 602, 756, 914 is 59424624.
2. How to calculate the LCM of 688, 602, 756, 914?
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, 602, 756, 914.
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}.