LCM of 270, 828, 749, 897, 506
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 270, 828, 749, 897, 506 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 270, 828, 749, 897, 506. So, keep reading to learn more.
Given numbers are 270,828,749,897,506
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 270,828,749,897,506 is 1330268940.
Find LCM of 270,828,749,897,506 with Prime Factorization
| 2 | 270, 828, 749, 897, 506 |
| 3 | 135, 414, 749, 897, 253 |
| 3 | 45, 138, 749, 299, 253 |
| 23 | 15, 46, 749, 299, 253 |
| 15, 2, 749, 13, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 23 x 15 x 2 x 749 x 13 x 11 = 1330268940
Therefore, the lowest common multiple of 270,828,749,897,506 is 1330268940.
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.
270 x 828 x 749 x 897 x 506 = 76000925080080
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.
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
749 : 1, 7, 107, 749
897 : 1, 3, 13, 23, 39, 69, 299, 897
506 : 1, 2, 11, 22, 23, 46, 253, 506
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 270,828,749,897,506, is 1.
Now, the common factors can be found like this.
270:2x 3x 3x 3x 5
828:2x 2x 3x 3x 23
749:7x 107
897:3x 13x 23
506:2x 11x 23
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 3x 3x 3x 23x 23 = 57132
Therefore, the value for common factors is 57132.
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 = 76000925080080/(1x57132)
LCM = 76000925080080/57132
LCM = 1330268940
Thus, we can understand that the LCM of 270,828,749,897,506 is 1330268940.
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FAQs on LCM of 270, 828, 749, 897, 506
1. What is the LCM of 270, 828, 749, 897, 506?
Answer: LCM of 270, 828, 749, 897, 506 is 1330268940.
2. How to calculate the LCM of 270, 828, 749, 897, 506?
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 270, 828, 749, 897, 506.
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}.