Find the LCM of 874, 851, 855, 533 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 874, 851, 855, 533. So, keep reading to learn more.
Given numbers are 874,851,855,533
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,851,855,533 is 775626930.
Find LCM of 874,851,855,533 with Prime Factorization
19 | 874, 851, 855, 533 |
23 | 46, 851, 45, 533 |
2, 37, 45, 533 |
Multiply the prime numbers at the bottom and the left side.
19 x 23 x 2 x 37 x 45 x 533 = 775626930
Therefore, the lowest common multiple of 874,851,855,533 is 775626930.
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.
874 x 851 x 855 x 533 = 338948968410
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.
874 : 1, 2, 19, 23, 38, 46, 437, 874
851 : 1, 23, 37, 851
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
533 : 1, 13, 41, 533
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,851,855,533, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
851:23x 37
855:3x 3x 5x 19
533:13x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
19x 23 = 437
Therefore, the value for common factors is 437.
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 = 338948968410/(1x437)
LCM = 338948968410/437
LCM = 775626930
Thus, we can understand that the LCM of 874,851,855,533 is 775626930.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 874, 851, 855, 533?
Answer: LCM of 874, 851, 855, 533 is 775626930.
2. How to calculate the LCM of 874, 851, 855, 533?
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 874, 851, 855, 533.
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}.