LCM of 479, 562, 411, 548
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 479, 562, 411, 548 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 479, 562, 411, 548. So, keep reading to learn more.
Given numbers are 479,562,411,548
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 479,562,411,548 is 221280756.
Find LCM of 479,562,411,548 with Prime Factorization
| 2 | 479, 562, 411, 548 |
| 137 | 479, 281, 411, 274 |
| 479, 281, 3, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 137 x 479 x 281 x 3 x 2 = 221280756
Therefore, the lowest common multiple of 479,562,411,548 is 221280756.
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.
479 x 562 x 411 x 548 = 60630927144
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.
479 : 1, 479
562 : 1, 2, 281, 562
411 : 1, 3, 137, 411
548 : 1, 2, 4, 137, 274, 548
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,562,411,548, is 1.
Now, the common factors can be found like this.
479:479
562:2x 281
411:3x 137
548:2x 2x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 137 = 274
Therefore, the value for common factors is 274.
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 = 60630927144/(1x274)
LCM = 60630927144/274
LCM = 221280756
Thus, we can understand that the LCM of 479,562,411,548 is 221280756.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 479, 562, 411, 548
1. What is the LCM of 479, 562, 411, 548?
Answer: LCM of 479, 562, 411, 548 is 221280756.
2. How to calculate the LCM of 479, 562, 411, 548?
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 479, 562, 411, 548.
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}.