LCM of 326, 112, 490, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 326, 112, 490, 749 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 326, 112, 490, 749. So, keep reading to learn more.
Given numbers are 326,112,490,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 326,112,490,749 is 68368720.
Find LCM of 326,112,490,749 with Prime Factorization
| 2 | 326, 112, 490, 749 |
| 7 | 163, 56, 245, 749 |
| 163, 8, 35, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 163 x 8 x 35 x 107 = 68368720
Therefore, the lowest common multiple of 326,112,490,749 is 68368720.
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.
326 x 112 x 490 x 749 = 13400269120
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.
326 : 1, 2, 163, 326
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
490 : 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 326,112,490,749, is 1.
Now, the common factors can be found like this.
326:2x 163
112:2x 2x 2x 2x 7
490:2x 5x 7x 7
749:7x 107
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 7x 7 = 196
Therefore, the value for common factors is 196.
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 = 13400269120/(1x196)
LCM = 13400269120/196
LCM = 68368720
Thus, we can understand that the LCM of 326,112,490,749 is 68368720.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 326, 112, 490, 749
1. What is the LCM of 326, 112, 490, 749?
Answer: LCM of 326, 112, 490, 749 is 68368720.
2. How to calculate the LCM of 326, 112, 490, 749?
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 326, 112, 490, 749.
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}.