LCM of 287, 542, 190, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 542, 190, 168 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 287, 542, 190, 168. So, keep reading to learn more.
Given numbers are 287,542,190,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,542,190,168 is 177331560.
Find LCM of 287,542,190,168 with Prime Factorization
| 2 | 287, 542, 190, 168 |
| 7 | 287, 271, 95, 84 |
| 41, 271, 95, 12 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 41 x 271 x 95 x 12 = 177331560
Therefore, the lowest common multiple of 287,542,190,168 is 177331560.
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.
287 x 542 x 190 x 168 = 4965283680
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.
287 : 1, 7, 41, 287
542 : 1, 2, 271, 542
190 : 1, 2, 5, 10, 19, 38, 95, 190
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,542,190,168, is 1.
Now, the common factors can be found like this.
287:7x 41
542:2x 271
190:2x 5x 19
168:2x 2x 2x 3x 7
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 7 = 28
Therefore, the value for common factors is 28.
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 = 4965283680/(1x28)
LCM = 4965283680/28
LCM = 177331560
Thus, we can understand that the LCM of 287,542,190,168 is 177331560.
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FAQs on LCM of 287, 542, 190, 168
1. What is the LCM of 287, 542, 190, 168?
Answer: LCM of 287, 542, 190, 168 is 177331560.
2. How to calculate the LCM of 287, 542, 190, 168?
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 287, 542, 190, 168.
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}.