LCM of 100, 268, 572, 297
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 100, 268, 572, 297 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 100, 268, 572, 297. So, keep reading to learn more.
Given numbers are 100,268,572,297
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 100,268,572,297 is 25868700.
Find LCM of 100,268,572,297 with Prime Factorization
| 2 | 100, 268, 572, 297 |
| 2 | 50, 134, 286, 297 |
| 11 | 25, 67, 143, 297 |
| 25, 67, 13, 27 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 25 x 67 x 13 x 27 = 25868700
Therefore, the lowest common multiple of 100,268,572,297 is 25868700.
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.
100 x 268 x 572 x 297 = 4552891200
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.
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
268 : 1, 2, 4, 67, 134, 268
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
297 : 1, 3, 9, 11, 27, 33, 99, 297
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 100,268,572,297, is 1.
Now, the common factors can be found like this.
100:2x 2x 5x 5
268:2x 2x 67
572:2x 2x 11x 13
297:3x 3x 3x 11
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 2x 11 = 176
Therefore, the value for common factors is 176.
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 = 4552891200/(1x176)
LCM = 4552891200/176
LCM = 25868700
Thus, we can understand that the LCM of 100,268,572,297 is 25868700.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 100, 268, 572, 297
1. What is the LCM of 100, 268, 572, 297?
Answer: LCM of 100, 268, 572, 297 is 25868700.
2. How to calculate the LCM of 100, 268, 572, 297?
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 100, 268, 572, 297.
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}.