Find the LCM of 661, 618, 245, 894 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 661, 618, 245, 894. So, keep reading to learn more.
Given numbers are 661,618,245,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 661,618,245,894 is 14912219490.
Find LCM of 661,618,245,894 with Prime Factorization
2 | 661, 618, 245, 894 |
3 | 661, 309, 245, 447 |
661, 103, 245, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 661 x 103 x 245 x 149 = 14912219490
Therefore, the lowest common multiple of 661,618,245,894 is 14912219490.
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.
661 x 618 x 245 x 894 = 89473316940
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.
661 : 1, 661
618 : 1, 2, 3, 6, 103, 206, 309, 618
245 : 1, 5, 7, 35, 49, 245
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 661,618,245,894, is 1.
Now, the common factors can be found like this.
661:661
618:2x 3x 103
245:5x 7x 7
894:2x 3x 149
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 = 89473316940/(1x6)
LCM = 89473316940/6
LCM = 14912219490
Thus, we can understand that the LCM of 661,618,245,894 is 14912219490.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 661, 618, 245, 894?
Answer: LCM of 661, 618, 245, 894 is 14912219490.
2. How to calculate the LCM of 661, 618, 245, 894?
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 661, 618, 245, 894.
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}.