Find the LCM of 667, 754, 274, 868 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 667, 754, 274, 868. So, keep reading to learn more.
Given numbers are 667,754,274,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,754,274,868 is 1031120636.
Find LCM of 667,754,274,868 with Prime Factorization
2 | 667, 754, 274, 868 |
29 | 667, 377, 137, 434 |
23, 13, 137, 434 |
Multiply the prime numbers at the bottom and the left side.
2 x 29 x 23 x 13 x 137 x 434 = 1031120636
Therefore, the lowest common multiple of 667,754,274,868 is 1031120636.
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.
667 x 754 x 274 x 868 = 119609993776
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.
667 : 1, 23, 29, 667
754 : 1, 2, 13, 26, 29, 58, 377, 754
274 : 1, 2, 137, 274
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,754,274,868, is 1.
Now, the common factors can be found like this.
667:23x 29
754:2x 13x 29
274:2x 137
868:2x 2x 7x 31
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 29 = 116
Therefore, the value for common factors is 116.
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 = 119609993776/(1x116)
LCM = 119609993776/116
LCM = 1031120636
Thus, we can understand that the LCM of 667,754,274,868 is 1031120636.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 667, 754, 274, 868?
Answer: LCM of 667, 754, 274, 868 is 1031120636.
2. How to calculate the LCM of 667, 754, 274, 868?
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 667, 754, 274, 868.
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}.