LCM of 253, 484, 456, 705
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 253, 484, 456, 705 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, 484, 456, 705. So, keep reading to learn more.
Given numbers are 253,484,456,705
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,484,456,705 is 298226280.
Find LCM of 253,484,456,705 with Prime Factorization
| 2 | 253, 484, 456, 705 |
| 2 | 253, 242, 228, 705 |
| 3 | 253, 121, 114, 705 |
| 11 | 253, 121, 38, 235 |
| 23, 11, 38, 235 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 23 x 11 x 38 x 235 = 298226280
Therefore, the lowest common multiple of 253,484,456,705 is 298226280.
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 484 x 456 x 705 = 39365868960
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
484 : 1, 2, 4, 11, 22, 44, 121, 242, 484
456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
705 : 1, 3, 5, 15, 47, 141, 235, 705
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,484,456,705, is 1.
Now, the common factors can be found like this.
253:11x 23
484:2x 2x 11x 11
456:2x 2x 2x 3x 19
705:3x 5x 47
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 11 = 132
Therefore, the value for common factors is 132.
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 = 39365868960/(1x132)
LCM = 39365868960/132
LCM = 298226280
Thus, we can understand that the LCM of 253,484,456,705 is 298226280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 253, 484, 456, 705
1. What is the LCM of 253, 484, 456, 705?
Answer: LCM of 253, 484, 456, 705 is 298226280.
2. How to calculate the LCM of 253, 484, 456, 705?
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, 484, 456, 705.
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}.