LCM of 667, 856, 331, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 856, 331, 749 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, 856, 331, 749. So, keep reading to learn more.
Given numbers are 667,856,331,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,856,331,749 is 1322895784.
Find LCM of 667,856,331,749 with Prime Factorization
| 107 | 667, 856, 331, 749 |
| 667, 8, 331, 7 |
Multiply the prime numbers at the bottom and the left side.
107 x 667 x 8 x 331 x 7 = 1322895784
Therefore, the lowest common multiple of 667,856,331,749 is 1322895784.
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 856 x 331 x 749 = 141549848888
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
856 : 1, 2, 4, 8, 107, 214, 428, 856
331 : 1, 331
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,856,331,749, is 1.
Now, the common factors can be found like this.
667:23x 29
856:2x 2x 2x 107
331:331
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
107 = 107
Therefore, the value for common factors is 107.
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 = 141549848888/(1x107)
LCM = 141549848888/107
LCM = 1322895784
Thus, we can understand that the LCM of 667,856,331,749 is 1322895784.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 667, 856, 331, 749
1. What is the LCM of 667, 856, 331, 749?
Answer: LCM of 667, 856, 331, 749 is 1322895784.
2. How to calculate the LCM of 667, 856, 331, 749?
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, 856, 331, 749.
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}.