Find the LCM of 824, 949, 842, 781, 618 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 824, 949, 842, 781, 618. So, keep reading to learn more.
Given numbers are 824,949,842,781,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 824,949,842,781,618 is 771343472328.
Find LCM of 824,949,842,781,618 with Prime Factorization
2 | 824, 949, 842, 781, 618 |
103 | 412, 949, 421, 781, 309 |
4, 949, 421, 781, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 103 x 4 x 949 x 421 x 781 x 3 = 771343472328
Therefore, the lowest common multiple of 824,949,842,781,618 is 771343472328.
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.
824 x 949 x 842 x 781 x 618 = 317793510599136
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.
824 : 1, 2, 4, 8, 103, 206, 412, 824
949 : 1, 13, 73, 949
842 : 1, 2, 421, 842
781 : 1, 11, 71, 781
618 : 1, 2, 3, 6, 103, 206, 309, 618
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 824,949,842,781,618, is 1.
Now, the common factors can be found like this.
824:2x 2x 2x 103
949:13x 73
842:2x 421
781:11x 71
618:2x 3x 103
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 103 = 412
Therefore, the value for common factors is 412.
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 = 317793510599136/(1x412)
LCM = 317793510599136/412
LCM = 771343472328
Thus, we can understand that the LCM of 824,949,842,781,618 is 771343472328.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 824, 949, 842, 781, 618?
Answer: LCM of 824, 949, 842, 781, 618 is 771343472328.
2. How to calculate the LCM of 824, 949, 842, 781, 618?
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 824, 949, 842, 781, 618.
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}.