LCM of 223, 818, 428, 749, 560
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 818, 428, 749, 560 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, 818, 428, 749, 560. So, keep reading to learn more.
Given numbers are 223,818,428,749,560
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,818,428,749,560 is 5465123440.
Find LCM of 223,818,428,749,560 with Prime Factorization
| 2 | 223, 818, 428, 749, 560 |
| 2 | 223, 409, 214, 749, 280 |
| 7 | 223, 409, 107, 749, 140 |
| 107 | 223, 409, 107, 107, 20 |
| 223, 409, 1, 1, 20 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 107 x 223 x 409 x 1 x 1 x 20 = 5465123440
Therefore, the lowest common multiple of 223,818,428,749,560 is 5465123440.
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 818 x 428 x 749 x 560 = 32747019652480
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
818 : 1, 2, 409, 818
428 : 1, 2, 4, 107, 214, 428
749 : 1, 7, 107, 749
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,818,428,749,560, is 1.
Now, the common factors can be found like this.
223:223
818:2x 409
428:2x 2x 107
749:7x 107
560:2x 2x 2x 2x 5x 7
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 7x 107 = 5992
Therefore, the value for common factors is 5992.
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 = 32747019652480/(1x5992)
LCM = 32747019652480/5992
LCM = 5465123440
Thus, we can understand that the LCM of 223,818,428,749,560 is 5465123440.
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FAQs on LCM of 223, 818, 428, 749, 560
1. What is the LCM of 223, 818, 428, 749, 560?
Answer: LCM of 223, 818, 428, 749, 560 is 5465123440.
2. How to calculate the LCM of 223, 818, 428, 749, 560?
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, 818, 428, 749, 560.
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}.