LCM of 223, 765, 619, 704, 336
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 223, 765, 619, 704, 336 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, 765, 619, 704, 336. So, keep reading to learn more.
Given numbers are 223,765,619,704,336
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 223,765,619,704,336 is 520388447040.
Find LCM of 223,765,619,704,336 with Prime Factorization
| 2 | 223, 765, 619, 704, 336 |
| 2 | 223, 765, 619, 352, 168 |
| 2 | 223, 765, 619, 176, 84 |
| 2 | 223, 765, 619, 88, 42 |
| 3 | 223, 765, 619, 44, 21 |
| 223, 255, 619, 44, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 223 x 255 x 619 x 44 x 7 = 520388447040
Therefore, the lowest common multiple of 223,765,619,704,336 is 520388447040.
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 765 x 619 x 704 x 336 = 24978645457920
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
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
619 : 1, 619
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
336 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 223,765,619,704,336, is 1.
Now, the common factors can be found like this.
223:223
765:3x 3x 5x 17
619:619
704:2x 2x 2x 2x 2x 2x 11
336:2x 2x 2x 2x 3x 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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 24978645457920/(1x48)
LCM = 24978645457920/48
LCM = 520388447040
Thus, we can understand that the LCM of 223,765,619,704,336 is 520388447040.
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FAQs on LCM of 223, 765, 619, 704, 336
1. What is the LCM of 223, 765, 619, 704, 336?
Answer: LCM of 223, 765, 619, 704, 336 is 520388447040.
2. How to calculate the LCM of 223, 765, 619, 704, 336?
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, 765, 619, 704, 336.
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}.