Find the LCM of 694, 534, 789, 931 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 694, 534, 789, 931. So, keep reading to learn more.
Given numbers are 694,534,789,931
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,534,789,931 is 45370771194.
Find LCM of 694,534,789,931 with Prime Factorization
2 | 694, 534, 789, 931 |
3 | 347, 267, 789, 931 |
347, 89, 263, 931 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 347 x 89 x 263 x 931 = 45370771194
Therefore, the lowest common multiple of 694,534,789,931 is 45370771194.
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.
694 x 534 x 789 x 931 = 272224627164
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.
694 : 1, 2, 347, 694
534 : 1, 2, 3, 6, 89, 178, 267, 534
789 : 1, 3, 263, 789
931 : 1, 7, 19, 49, 133, 931
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,534,789,931, is 1.
Now, the common factors can be found like this.
694:2x 347
534:2x 3x 89
789:3x 263
931:7x 7x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 272224627164/(1x6)
LCM = 272224627164/6
LCM = 45370771194
Thus, we can understand that the LCM of 694,534,789,931 is 45370771194.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 694, 534, 789, 931?
Answer: LCM of 694, 534, 789, 931 is 45370771194.
2. How to calculate the LCM of 694, 534, 789, 931?
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 694, 534, 789, 931.
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}.