Find the LCM of 694, 652, 890, 949 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, 652, 890, 949. So, keep reading to learn more.
Given numbers are 694,652,890,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 694,652,890,949 is 95543972420.
Find LCM of 694,652,890,949 with Prime Factorization
2 | 694, 652, 890, 949 |
347, 326, 445, 949 |
Multiply the prime numbers at the bottom and the left side.
2 x 347 x 326 x 445 x 949 = 95543972420
Therefore, the lowest common multiple of 694,652,890,949 is 95543972420.
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 652 x 890 x 949 = 382175889680
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
652 : 1, 2, 4, 163, 326, 652
890 : 1, 2, 5, 10, 89, 178, 445, 890
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 694,652,890,949, is 1.
Now, the common factors can be found like this.
694:2x 347
652:2x 2x 163
890:2x 5x 89
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 382175889680/(1x4)
LCM = 382175889680/4
LCM = 95543972420
Thus, we can understand that the LCM of 694,652,890,949 is 95543972420.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 694, 652, 890, 949?
Answer: LCM of 694, 652, 890, 949 is 95543972420.
2. How to calculate the LCM of 694, 652, 890, 949?
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, 652, 890, 949.
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}.