Find the LCM of 653, 135, 454, 865, 220 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 653, 135, 454, 865, 220. So, keep reading to learn more.
Given numbers are 653,135,454,865,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 653,135,454,865,220 is 152325140220.
Find LCM of 653,135,454,865,220 with Prime Factorization
2 | 653, 135, 454, 865, 220 |
5 | 653, 135, 227, 865, 110 |
653, 27, 227, 173, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 653 x 27 x 227 x 173 x 22 = 152325140220
Therefore, the lowest common multiple of 653,135,454,865,220 is 152325140220.
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.
653 x 135 x 454 x 865 x 220 = 7616257011000
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.
653 : 1, 653
135 : 1, 3, 5, 9, 15, 27, 45, 135
454 : 1, 2, 227, 454
865 : 1, 5, 173, 865
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 653,135,454,865,220, is 1.
Now, the common factors can be found like this.
653:653
135:3x 3x 3x 5
454:2x 227
865:5x 173
220:2x 2x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5 = 50
Therefore, the value for common factors is 50.
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 = 7616257011000/(1x50)
LCM = 7616257011000/50
LCM = 152325140220
Thus, we can understand that the LCM of 653,135,454,865,220 is 152325140220.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 653, 135, 454, 865, 220?
Answer: LCM of 653, 135, 454, 865, 220 is 152325140220.
2. How to calculate the LCM of 653, 135, 454, 865, 220?
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 653, 135, 454, 865, 220.
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}.