LCM of 506, 308, 278, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 506, 308, 278, 493 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 506, 308, 278, 493. So, keep reading to learn more.
Given numbers are 506,308,278,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 506,308,278,493 is 485445268.
Find LCM of 506,308,278,493 with Prime Factorization
| 2 | 506, 308, 278, 493 |
| 11 | 253, 154, 139, 493 |
| 23, 14, 139, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 23 x 14 x 139 x 493 = 485445268
Therefore, the lowest common multiple of 506,308,278,493 is 485445268.
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.
506 x 308 x 278 x 493 = 21359591792
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.
506 : 1, 2, 11, 22, 23, 46, 253, 506
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
278 : 1, 2, 139, 278
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 506,308,278,493, is 1.
Now, the common factors can be found like this.
506:2x 11x 23
308:2x 2x 7x 11
278:2x 139
493:17x 29
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 11 = 44
Therefore, the value for common factors is 44.
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 = 21359591792/(1x44)
LCM = 21359591792/44
LCM = 485445268
Thus, we can understand that the LCM of 506,308,278,493 is 485445268.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 506, 308, 278, 493
1. What is the LCM of 506, 308, 278, 493?
Answer: LCM of 506, 308, 278, 493 is 485445268.
2. How to calculate the LCM of 506, 308, 278, 493?
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 506, 308, 278, 493.
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}.