LCM of 448, 520, 616, 242, 776
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 520, 616, 242, 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 448, 520, 616, 242, 776. So, keep reading to learn more.
Given numbers are 448,520,616,242,776
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,520,616,242,776 is 341781440.
Find LCM of 448,520,616,242,776 with Prime Factorization
| 2 | 448, 520, 616, 242, 776 |
| 2 | 224, 260, 308, 121, 388 |
| 2 | 112, 130, 154, 121, 194 |
| 7 | 56, 65, 77, 121, 97 |
| 11 | 8, 65, 11, 121, 97 |
| 8, 65, 1, 11, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 8 x 65 x 1 x 11 x 97 = 341781440
Therefore, the lowest common multiple of 448,520,616,242,776 is 341781440.
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.
448 x 520 x 616 x 242 x 776 = 26948782981120
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
242 : 1, 2, 11, 22, 121, 242
776 : 1, 2, 4, 8, 97, 194, 388, 776
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,520,616,242,776, is 2.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
520:2x 2x 2x 5x 13
616:2x 2x 2x 7x 11
242:2x 11x 11
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 2x 2x 2x 7x 11 = 39424
Therefore, the value for common factors is 39424.
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 = 26948782981120/(2x39424)
LCM = 26948782981120/78848
LCM = 341781440
Thus, we can understand that the LCM of 448,520,616,242,776 is 341781440.
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FAQs on LCM of 448, 520, 616, 242, 776
1. What is the LCM of 448, 520, 616, 242, 776?
Answer: LCM of 448, 520, 616, 242, 776 is 341781440.
2. How to calculate the LCM of 448, 520, 616, 242, 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 448, 520, 616, 242, 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}.