LCM of 578, 568, 616, 638, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 578, 568, 616, 638, 749 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 578, 568, 616, 638, 749. So, keep reading to learn more.
Given numbers are 578,568,616,638,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 578,568,616,638,749 is 39221001512.
Find LCM of 578,568,616,638,749 with Prime Factorization
| 2 | 578, 568, 616, 638, 749 |
| 2 | 289, 284, 308, 319, 749 |
| 2 | 289, 142, 154, 319, 749 |
| 7 | 289, 71, 77, 319, 749 |
| 11 | 289, 71, 11, 319, 107 |
| 289, 71, 1, 29, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 289 x 71 x 1 x 29 x 107 = 39221001512
Therefore, the lowest common multiple of 578,568,616,638,749 is 39221001512.
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.
578 x 568 x 616 x 638 x 749 = 96640547725568
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.
578 : 1, 2, 17, 34, 289, 578
568 : 1, 2, 4, 8, 71, 142, 284, 568
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
638 : 1, 2, 11, 22, 29, 58, 319, 638
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 578,568,616,638,749, is 1.
Now, the common factors can be found like this.
578:2x 17x 17
568:2x 2x 2x 71
616:2x 2x 2x 7x 11
638:2x 11x 29
749:7x 107
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 7x 11 = 2464
Therefore, the value for common factors is 2464.
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 = 96640547725568/(1x2464)
LCM = 96640547725568/2464
LCM = 39221001512
Thus, we can understand that the LCM of 578,568,616,638,749 is 39221001512.
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FAQs on LCM of 578, 568, 616, 638, 749
1. What is the LCM of 578, 568, 616, 638, 749?
Answer: LCM of 578, 568, 616, 638, 749 is 39221001512.
2. How to calculate the LCM of 578, 568, 616, 638, 749?
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 578, 568, 616, 638, 749.
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}.