LCM of 655, 319, 812, 493, 220
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 655, 319, 812, 493, 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 655, 319, 812, 493, 220. So, keep reading to learn more.
Given numbers are 655,319,812,493,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 655,319,812,493,220 is 99457820.
Find LCM of 655,319,812,493,220 with Prime Factorization
| 2 | 655, 319, 812, 493, 220 |
| 2 | 655, 319, 406, 493, 110 |
| 5 | 655, 319, 203, 493, 55 |
| 11 | 131, 319, 203, 493, 11 |
| 29 | 131, 29, 203, 493, 1 |
| 131, 1, 7, 17, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 29 x 131 x 1 x 7 x 17 x 1 = 99457820
Therefore, the lowest common multiple of 655,319,812,493,220 is 99457820.
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.
655 x 319 x 812 x 493 x 220 = 18401685856400
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.
655 : 1, 5, 131, 655
319 : 1, 11, 29, 319
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
493 : 1, 17, 29, 493
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 655,319,812,493,220, is 1.
Now, the common factors can be found like this.
655:5x 131
319:11x 29
812:2x 2x 7x 29
493:17x 29
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 2x 5x 11x 29x 29 = 185020
Therefore, the value for common factors is 185020.
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 = 18401685856400/(1x185020)
LCM = 18401685856400/185020
LCM = 99457820
Thus, we can understand that the LCM of 655,319,812,493,220 is 99457820.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 655, 319, 812, 493, 220
1. What is the LCM of 655, 319, 812, 493, 220?
Answer: LCM of 655, 319, 812, 493, 220 is 99457820.
2. How to calculate the LCM of 655, 319, 812, 493, 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 655, 319, 812, 493, 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}.