LCM of 749, 568, 224, 976, 580
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 749, 568, 224, 976, 580 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 749, 568, 224, 976, 580. So, keep reading to learn more.
Given numbers are 749,568,224,976,580
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 749,568,224,976,580 is 15051784160.
Find LCM of 749,568,224,976,580 with Prime Factorization
| 2 | 749, 568, 224, 976, 580 |
| 2 | 749, 284, 112, 488, 290 |
| 2 | 749, 142, 56, 244, 145 |
| 2 | 749, 71, 28, 122, 145 |
| 7 | 749, 71, 14, 61, 145 |
| 107, 71, 2, 61, 145 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 107 x 71 x 2 x 61 x 145 = 15051784160
Therefore, the lowest common multiple of 749,568,224,976,580 is 15051784160.
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.
749 x 568 x 224 x 976 x 580 = 53945594429440
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.
749 : 1, 7, 107, 749
568 : 1, 2, 4, 8, 71, 142, 284, 568
224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 749,568,224,976,580, is 1.
Now, the common factors can be found like this.
749:7x 107
568:2x 2x 2x 71
224:2x 2x 2x 2x 2x 7
976:2x 2x 2x 2x 61
580:2x 2x 5x 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 2x 2x 2x 2x 2x 2x 7 = 3584
Therefore, the value for common factors is 3584.
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 = 53945594429440/(1x3584)
LCM = 53945594429440/3584
LCM = 15051784160
Thus, we can understand that the LCM of 749,568,224,976,580 is 15051784160.
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FAQs on LCM of 749, 568, 224, 976, 580
1. What is the LCM of 749, 568, 224, 976, 580?
Answer: LCM of 749, 568, 224, 976, 580 is 15051784160.
2. How to calculate the LCM of 749, 568, 224, 976, 580?
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 749, 568, 224, 976, 580.
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}.