LCM of 672, 748, 244, 374, 268
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 672, 748, 244, 374, 268 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 672, 748, 244, 374, 268. So, keep reading to learn more.
Given numbers are 672,748,244,374,268
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 672,748,244,374,268 is 513588768.
Find LCM of 672,748,244,374,268 with Prime Factorization
| 2 | 672, 748, 244, 374, 268 |
| 2 | 336, 374, 122, 187, 134 |
| 11 | 168, 187, 61, 187, 67 |
| 17 | 168, 17, 61, 17, 67 |
| 168, 1, 61, 1, 67 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 17 x 168 x 1 x 61 x 1 x 67 = 513588768
Therefore, the lowest common multiple of 672,748,244,374,268 is 513588768.
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.
672 x 748 x 244 x 374 x 268 = 12293260750848
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.
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
244 : 1, 2, 4, 61, 122, 244
374 : 1, 2, 11, 17, 22, 34, 187, 374
268 : 1, 2, 4, 67, 134, 268
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,748,244,374,268, is 2.
Now, the common factors can be found like this.
672:2x 2x 2x 2x 2x 3x 7
748:2x 2x 11x 17
244:2x 2x 61
374:2x 11x 17
268:2x 2x 67
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 11x 17 = 11968
Therefore, the value for common factors is 11968.
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 = 12293260750848/(2x11968)
LCM = 12293260750848/23936
LCM = 513588768
Thus, we can understand that the LCM of 672,748,244,374,268 is 513588768.
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FAQs on LCM of 672, 748, 244, 374, 268
1. What is the LCM of 672, 748, 244, 374, 268?
Answer: LCM of 672, 748, 244, 374, 268 is 513588768.
2. How to calculate the LCM of 672, 748, 244, 374, 268?
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 672, 748, 244, 374, 268.
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}.