LCM of 223, 471, 504, 686, 708
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 471, 504, 686, 708 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 223, 471, 504, 686, 708. So, keep reading to learn more.
Given numbers are 223,471,504,686,708
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,471,504,686,708 is 51013267704.
Find LCM of 223,471,504,686,708 with Prime Factorization
| 2 | 223, 471, 504, 686, 708 |
| 2 | 223, 471, 252, 343, 354 |
| 3 | 223, 471, 126, 343, 177 |
| 7 | 223, 157, 42, 343, 59 |
| 223, 157, 6, 49, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 223 x 157 x 6 x 49 x 59 = 51013267704
Therefore, the lowest common multiple of 223,471,504,686,708 is 51013267704.
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.
223 x 471 x 504 x 686 x 708 = 25710686922816
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.
223 : 1, 223
471 : 1, 3, 157, 471
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
686 : 1, 2, 7, 14, 49, 98, 343, 686
708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,471,504,686,708, is 1.
Now, the common factors can be found like this.
223:223
471:3x 157
504:2x 2x 2x 3x 3x 7
686:2x 7x 7x 7
708:2x 2x 3x 59
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 7 = 504
Therefore, the value for common factors is 504.
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 = 25710686922816/(1x504)
LCM = 25710686922816/504
LCM = 51013267704
Thus, we can understand that the LCM of 223,471,504,686,708 is 51013267704.
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FAQs on LCM of 223, 471, 504, 686, 708
1. What is the LCM of 223, 471, 504, 686, 708?
Answer: LCM of 223, 471, 504, 686, 708 is 51013267704.
2. How to calculate the LCM of 223, 471, 504, 686, 708?
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 223, 471, 504, 686, 708.
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}.