Find the LCM of 220, 978, 737, 768, 489 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 220, 978, 737, 768, 489. So, keep reading to learn more.
Given numbers are 220,978,737,768,489
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,978,737,768,489 is 461303040.
Find LCM of 220,978,737,768,489 with Prime Factorization
2 | 220, 978, 737, 768, 489 |
2 | 110, 489, 737, 384, 489 |
3 | 55, 489, 737, 192, 489 |
11 | 55, 163, 737, 64, 163 |
163 | 5, 163, 67, 64, 163 |
5, 1, 67, 64, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 163 x 5 x 1 x 67 x 64 x 1 = 461303040
Therefore, the lowest common multiple of 220,978,737,768,489 is 461303040.
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.
220 x 978 x 737 x 768 x 489 = 59552377251840
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.
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
978 : 1, 2, 3, 6, 163, 326, 489, 978
737 : 1, 11, 67, 737
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
489 : 1, 3, 163, 489
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,978,737,768,489, is 1.
Now, the common factors can be found like this.
220:2x 2x 5x 11
978:2x 3x 163
737:11x 67
768:2x 2x 2x 2x 2x 2x 2x 2x 3
489:3x 163
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 2x 3x 3x 11x 163 = 129096
Therefore, the value for common factors is 129096.
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 = 59552377251840/(1x129096)
LCM = 59552377251840/129096
LCM = 461303040
Thus, we can understand that the LCM of 220,978,737,768,489 is 461303040.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 220, 978, 737, 768, 489?
Answer: LCM of 220, 978, 737, 768, 489 is 461303040.
2. How to calculate the LCM of 220, 978, 737, 768, 489?
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 220, 978, 737, 768, 489.
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}.