Find the LCM of 688, 972, 760, 477, 429 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, 972, 760, 477, 429. So, keep reading to learn more.
Given numbers are 688,972,760,477,429
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 688,972,760,477,429 is 120373315920.
Find LCM of 688,972,760,477,429 with Prime Factorization
2 | 688, 972, 760, 477, 429 |
2 | 344, 486, 380, 477, 429 |
2 | 172, 243, 190, 477, 429 |
3 | 86, 243, 95, 477, 429 |
3 | 86, 81, 95, 159, 143 |
86, 27, 95, 53, 143 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 86 x 27 x 95 x 53 x 143 = 120373315920
Therefore, the lowest common multiple of 688,972,760,477,429 is 120373315920.
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 972 x 760 x 477 x 429 = 104002544954880
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
477 : 1, 3, 9, 53, 159, 477
429 : 1, 3, 11, 13, 33, 39, 143, 429
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 688,972,760,477,429, is 1.
Now, the common factors can be found like this.
688:2x 2x 2x 2x 43
972:2x 2x 3x 3x 3x 3x 3
760:2x 2x 2x 5x 19
477:3x 3x 53
429:3x 11x 13
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 2x 2x 3x 3x 3 = 864
Therefore, the value for common factors is 864.
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 = 104002544954880/(1x864)
LCM = 104002544954880/864
LCM = 120373315920
Thus, we can understand that the LCM of 688,972,760,477,429 is 120373315920.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 688, 972, 760, 477, 429?
Answer: LCM of 688, 972, 760, 477, 429 is 120373315920.
2. How to calculate the LCM of 688, 972, 760, 477, 429?
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, 972, 760, 477, 429.
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}.