Find the LCM of 279, 240, 620, 771 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 279, 240, 620, 771. So, keep reading to learn more.
Given numbers are 279,240,620,771
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 279,240,620,771 is 5736240.
Find LCM of 279,240,620,771 with Prime Factorization
2 | 279, 240, 620, 771 |
2 | 279, 120, 310, 771 |
3 | 279, 60, 155, 771 |
5 | 93, 20, 155, 257 |
31 | 93, 4, 31, 257 |
3, 4, 1, 257 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 31 x 3 x 4 x 1 x 257 = 5736240
Therefore, the lowest common multiple of 279,240,620,771 is 5736240.
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.
279 x 240 x 620 x 771 = 32008219200
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.
279 : 1, 3, 9, 31, 93, 279
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
771 : 1, 3, 257, 771
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 279,240,620,771, is 1.
Now, the common factors can be found like this.
279:3x 3x 31
240:2x 2x 2x 2x 3x 5
620:2x 2x 5x 31
771:3x 257
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 5x 31 = 5580
Therefore, the value for common factors is 5580.
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 = 32008219200/(1x5580)
LCM = 32008219200/5580
LCM = 5736240
Thus, we can understand that the LCM of 279,240,620,771 is 5736240.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 279, 240, 620, 771?
Answer: LCM of 279, 240, 620, 771 is 5736240.
2. How to calculate the LCM of 279, 240, 620, 771?
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 279, 240, 620, 771.
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}.