LCM of 338, 748, 153, 568, 426
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 338, 748, 153, 568, 426 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 338, 748, 153, 568, 426. So, keep reading to learn more.
Given numbers are 338,748,153,568,426
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 338,748,153,568,426 is 161554536.
Find LCM of 338,748,153,568,426 with Prime Factorization
| 2 | 338, 748, 153, 568, 426 |
| 2 | 169, 374, 153, 284, 213 |
| 3 | 169, 187, 153, 142, 213 |
| 17 | 169, 187, 51, 142, 71 |
| 71 | 169, 11, 3, 142, 71 |
| 169, 11, 3, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 17 x 71 x 169 x 11 x 3 x 2 x 1 = 161554536
Therefore, the lowest common multiple of 338,748,153,568,426 is 161554536.
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.
338 x 748 x 153 x 568 x 426 = 9359823597696
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.
338 : 1, 2, 13, 26, 169, 338
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
153 : 1, 3, 9, 17, 51, 153
568 : 1, 2, 4, 8, 71, 142, 284, 568
426 : 1, 2, 3, 6, 71, 142, 213, 426
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 338,748,153,568,426, is 1.
Now, the common factors can be found like this.
338:2x 13x 13
748:2x 2x 11x 17
153:3x 3x 17
568:2x 2x 2x 71
426:2x 3x 71
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 3x 17x 71 = 57936
Therefore, the value for common factors is 57936.
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 = 9359823597696/(1x57936)
LCM = 9359823597696/57936
LCM = 161554536
Thus, we can understand that the LCM of 338,748,153,568,426 is 161554536.
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FAQs on LCM of 338, 748, 153, 568, 426
1. What is the LCM of 338, 748, 153, 568, 426?
Answer: LCM of 338, 748, 153, 568, 426 is 161554536.
2. How to calculate the LCM of 338, 748, 153, 568, 426?
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 338, 748, 153, 568, 426.
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}.