LCM of 874, 552, 837, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 874, 552, 837, 868 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, 552, 837, 868. So, keep reading to learn more.
Given numbers are 874,552,837,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 874,552,837,868 is 20483064.
Find LCM of 874,552,837,868 with Prime Factorization
| 2 | 874, 552, 837, 868 |
| 2 | 437, 276, 837, 434 |
| 3 | 437, 138, 837, 217 |
| 23 | 437, 46, 279, 217 |
| 31 | 19, 2, 279, 217 |
| 19, 2, 9, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 23 x 31 x 19 x 2 x 9 x 7 = 20483064
Therefore, the lowest common multiple of 874,552,837,868 is 20483064.
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 552 x 837 x 868 = 350506191168
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
552 : 1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
837 : 1, 3, 9, 27, 31, 93, 279, 837
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 874,552,837,868, is 1.
Now, the common factors can be found like this.
874:2x 19x 23
552:2x 2x 2x 3x 23
837:3x 3x 3x 31
868:2x 2x 7x 31
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 2x 3x 23x 31 = 17112
Therefore, the value for common factors is 17112.
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 = 350506191168/(1x17112)
LCM = 350506191168/17112
LCM = 20483064
Thus, we can understand that the LCM of 874,552,837,868 is 20483064.
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FAQs on LCM of 874, 552, 837, 868
1. What is the LCM of 874, 552, 837, 868?
Answer: LCM of 874, 552, 837, 868 is 20483064.
2. How to calculate the LCM of 874, 552, 837, 868?
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, 552, 837, 868.
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}.