LCM of 448, 148, 734, 686, 967
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 148, 734, 686, 967 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, 148, 734, 686, 967. So, keep reading to learn more.
Given numbers are 448,148,734,686,967
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,148,734,686,967 is 288249363136.
Find LCM of 448,148,734,686,967 with Prime Factorization
| 2 | 448, 148, 734, 686, 967 |
| 2 | 224, 74, 367, 343, 967 |
| 7 | 112, 37, 367, 343, 967 |
| 16, 37, 367, 49, 967 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 16 x 37 x 367 x 49 x 967 = 288249363136
Therefore, the lowest common multiple of 448,148,734,686,967 is 288249363136.
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 148 x 734 x 686 x 967 = 32283928671232
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
148 : 1, 2, 4, 37, 74, 148
734 : 1, 2, 367, 734
686 : 1, 2, 7, 14, 49, 98, 343, 686
967 : 1, 967
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,148,734,686,967, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
148:2x 2x 37
734:2x 367
686:2x 7x 7x 7
967:967
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 7 = 112
Therefore, the value for common factors is 112.
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 = 32283928671232/(1x112)
LCM = 32283928671232/112
LCM = 288249363136
Thus, we can understand that the LCM of 448,148,734,686,967 is 288249363136.
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FAQs on LCM of 448, 148, 734, 686, 967
1. What is the LCM of 448, 148, 734, 686, 967?
Answer: LCM of 448, 148, 734, 686, 967 is 288249363136.
2. How to calculate the LCM of 448, 148, 734, 686, 967?
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, 148, 734, 686, 967.
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}.