LCM of 223, 749, 930, 588, 775
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 749, 930, 588, 775 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, 749, 930, 588, 775. So, keep reading to learn more.
Given numbers are 223,749,930,588,775
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,749,930,588,775 is 10873457700.
Find LCM of 223,749,930,588,775 with Prime Factorization
| 2 | 223, 749, 930, 588, 775 |
| 3 | 223, 749, 465, 294, 775 |
| 5 | 223, 749, 155, 98, 775 |
| 7 | 223, 749, 31, 98, 155 |
| 31 | 223, 107, 31, 14, 155 |
| 223, 107, 1, 14, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 31 x 223 x 107 x 1 x 14 x 5 = 10873457700
Therefore, the lowest common multiple of 223,749,930,588,775 is 10873457700.
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 749 x 930 x 588 x 775 = 70786209627000
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
749 : 1, 7, 107, 749
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
775 : 1, 5, 25, 31, 155, 775
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,749,930,588,775, is 1.
Now, the common factors can be found like this.
223:223
749:7x 107
930:2x 3x 5x 31
588:2x 2x 3x 7x 7
775:5x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 7x 31 = 6510
Therefore, the value for common factors is 6510.
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 = 70786209627000/(1x6510)
LCM = 70786209627000/6510
LCM = 10873457700
Thus, we can understand that the LCM of 223,749,930,588,775 is 10873457700.
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FAQs on LCM of 223, 749, 930, 588, 775
1. What is the LCM of 223, 749, 930, 588, 775?
Answer: LCM of 223, 749, 930, 588, 775 is 10873457700.
2. How to calculate the LCM of 223, 749, 930, 588, 775?
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, 749, 930, 588, 775.
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}.