LCM of 773, 908, 416, 742, 616
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 773, 908, 416, 742, 616 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 773, 908, 416, 742, 616. So, keep reading to learn more.
Given numbers are 773,908,416,742,616
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 773,908,416,742,616 is 297896414816.
Find LCM of 773,908,416,742,616 with Prime Factorization
| 2 | 773, 908, 416, 742, 616 |
| 2 | 773, 454, 208, 371, 308 |
| 2 | 773, 227, 104, 371, 154 |
| 7 | 773, 227, 52, 371, 77 |
| 773, 227, 52, 53, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 773 x 227 x 52 x 53 x 11 = 297896414816
Therefore, the lowest common multiple of 773,908,416,742,616 is 297896414816.
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.
773 x 908 x 416 x 742 x 616 = 133457593837568
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.
773 : 1, 773
908 : 1, 2, 4, 227, 454, 908
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
742 : 1, 2, 7, 14, 53, 106, 371, 742
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 773,908,416,742,616, is 1.
Now, the common factors can be found like this.
773:773
908:2x 2x 227
416:2x 2x 2x 2x 2x 13
742:2x 7x 53
616:2x 2x 2x 7x 11
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 7 = 448
Therefore, the value for common factors is 448.
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 = 133457593837568/(1x448)
LCM = 133457593837568/448
LCM = 297896414816
Thus, we can understand that the LCM of 773,908,416,742,616 is 297896414816.
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FAQs on LCM of 773, 908, 416, 742, 616
1. What is the LCM of 773, 908, 416, 742, 616?
Answer: LCM of 773, 908, 416, 742, 616 is 297896414816.
2. How to calculate the LCM of 773, 908, 416, 742, 616?
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 773, 908, 416, 742, 616.
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}.