LCM of 253, 483, 292, 483, 897
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 483, 292, 483, 897 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 253, 483, 292, 483, 897. So, keep reading to learn more.
Given numbers are 253,483,292,483,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,483,292,483,897 is 20168148.
Find LCM of 253,483,292,483,897 with Prime Factorization
| 3 | 253, 483, 292, 483, 897 |
| 7 | 253, 161, 292, 161, 299 |
| 23 | 253, 23, 292, 23, 299 |
| 11, 1, 292, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 23 x 11 x 1 x 292 x 1 x 13 = 20168148
Therefore, the lowest common multiple of 253,483,292,483,897 is 20168148.
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.
253 x 483 x 292 x 483 x 897 = 15459308973108
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.
253 : 1, 11, 23, 253
483 : 1, 3, 7, 21, 23, 69, 161, 483
292 : 1, 2, 4, 73, 146, 292
483 : 1, 3, 7, 21, 23, 69, 161, 483
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,483,292,483,897, is 1.
Now, the common factors can be found like this.
253:11x 23
483:3x 7x 23
292:2x 2x 73
483:3x 7x 23
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 7x 23x 23x 23 = 766521
Therefore, the value for common factors is 766521.
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 = 15459308973108/(1x766521)
LCM = 15459308973108/766521
LCM = 20168148
Thus, we can understand that the LCM of 253,483,292,483,897 is 20168148.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 483, 292, 483, 897
1. What is the LCM of 253, 483, 292, 483, 897?
Answer: LCM of 253, 483, 292, 483, 897 is 20168148.
2. How to calculate the LCM of 253, 483, 292, 483, 897?
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 253, 483, 292, 483, 897.
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}.