LCM of 605, 824, 642, 100, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 605, 824, 642, 100, 776 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 605, 824, 642, 100, 776. So, keep reading to learn more.
Given numbers are 605,824,642,100,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 605,824,642,100,776 is 77612086200.
Find LCM of 605,824,642,100,776 with Prime Factorization
| 2 | 605, 824, 642, 100, 776 |
| 2 | 605, 412, 321, 50, 388 |
| 2 | 605, 206, 321, 25, 194 |
| 5 | 605, 103, 321, 25, 97 |
| 121, 103, 321, 5, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 121 x 103 x 321 x 5 x 97 = 77612086200
Therefore, the lowest common multiple of 605,824,642,100,776 is 77612086200.
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.
605 x 824 x 642 x 100 x 776 = 24835867584000
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.
605 : 1, 5, 11, 55, 121, 605
824 : 1, 2, 4, 8, 103, 206, 412, 824
642 : 1, 2, 3, 6, 107, 214, 321, 642
100 : 1, 2, 4, 5, 10, 20, 25, 50, 100
776 : 1, 2, 4, 8, 97, 194, 388, 776
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 605,824,642,100,776, is 1.
Now, the common factors can be found like this.
605:5x 11x 11
824:2x 2x 2x 103
642:2x 3x 107
100:2x 2x 5x 5
776:2x 2x 2x 97
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 5 = 320
Therefore, the value for common factors is 320.
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 = 24835867584000/(1x320)
LCM = 24835867584000/320
LCM = 77612086200
Thus, we can understand that the LCM of 605,824,642,100,776 is 77612086200.
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FAQs on LCM of 605, 824, 642, 100, 776
1. What is the LCM of 605, 824, 642, 100, 776?
Answer: LCM of 605, 824, 642, 100, 776 is 77612086200.
2. How to calculate the LCM of 605, 824, 642, 100, 776?
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 605, 824, 642, 100, 776.
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}.