LCM of 220, 406, 506, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 220, 406, 506, 696 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, 406, 506, 696. So, keep reading to learn more.
Given numbers are 220,406,506,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 220,406,506,696 is 6163080.
Find LCM of 220,406,506,696 with Prime Factorization
| 2 | 220, 406, 506, 696 |
| 2 | 110, 203, 253, 348 |
| 11 | 55, 203, 253, 174 |
| 29 | 5, 203, 23, 174 |
| 5, 7, 23, 6 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 29 x 5 x 7 x 23 x 6 = 6163080
Therefore, the lowest common multiple of 220,406,506,696 is 6163080.
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 406 x 506 x 696 = 31456360320
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
406 : 1, 2, 7, 14, 29, 58, 203, 406
506 : 1, 2, 11, 22, 23, 46, 253, 506
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 220,406,506,696, is 2.
Now, the common factors can be found like this.
220:2x 2x 5x 11
406:2x 7x 29
506:2x 11x 23
696:2x 2x 2x 3x 29
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 11x 29 = 2552
Therefore, the value for common factors is 2552.
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 = 31456360320/(2x2552)
LCM = 31456360320/5104
LCM = 6163080
Thus, we can understand that the LCM of 220,406,506,696 is 6163080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 220, 406, 506, 696
1. What is the LCM of 220, 406, 506, 696?
Answer: LCM of 220, 406, 506, 696 is 6163080.
2. How to calculate the LCM of 220, 406, 506, 696?
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, 406, 506, 696.
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}.