LCM of 706, 363, 112, 670, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 706, 363, 112, 670, 748 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 706, 363, 112, 670, 748. So, keep reading to learn more.
Given numbers are 706,363,112,670,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,363,112,670,748 is 81732179760.
Find LCM of 706,363,112,670,748 with Prime Factorization
| 2 | 706, 363, 112, 670, 748 |
| 2 | 353, 363, 56, 335, 374 |
| 11 | 353, 363, 28, 335, 187 |
| 353, 33, 28, 335, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 353 x 33 x 28 x 335 x 17 = 81732179760
Therefore, the lowest common multiple of 706,363,112,670,748 is 81732179760.
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.
706 x 363 x 112 x 670 x 748 = 14384863637760
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.
706 : 1, 2, 353, 706
363 : 1, 3, 11, 33, 121, 363
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
670 : 1, 2, 5, 10, 67, 134, 335, 670
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,363,112,670,748, is 1.
Now, the common factors can be found like this.
706:2x 353
363:3x 11x 11
112:2x 2x 2x 2x 7
670:2x 5x 67
748:2x 2x 11x 17
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 11 = 176
Therefore, the value for common factors is 176.
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 = 14384863637760/(1x176)
LCM = 14384863637760/176
LCM = 81732179760
Thus, we can understand that the LCM of 706,363,112,670,748 is 81732179760.
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FAQs on LCM of 706, 363, 112, 670, 748
1. What is the LCM of 706, 363, 112, 670, 748?
Answer: LCM of 706, 363, 112, 670, 748 is 81732179760.
2. How to calculate the LCM of 706, 363, 112, 670, 748?
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 706, 363, 112, 670, 748.
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}.