LCM of 193, 749, 446, 894, 364
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 749, 446, 894, 364 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 193, 749, 446, 894, 364. So, keep reading to learn more.
Given numbers are 193,749,446,894,364
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,749,446,894,364 is 749298488484.
Find LCM of 193,749,446,894,364 with Prime Factorization
| 2 | 193, 749, 446, 894, 364 |
| 7 | 193, 749, 223, 447, 182 |
| 193, 107, 223, 447, 26 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 193 x 107 x 223 x 447 x 26 = 749298488484
Therefore, the lowest common multiple of 193,749,446,894,364 is 749298488484.
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.
193 x 749 x 446 x 894 x 364 = 20980357677552
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.
193 : 1, 193
749 : 1, 7, 107, 749
446 : 1, 2, 223, 446
894 : 1, 2, 3, 6, 149, 298, 447, 894
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,749,446,894,364, is 1.
Now, the common factors can be found like this.
193:193
749:7x 107
446:2x 223
894:2x 3x 149
364:2x 2x 7x 13
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 7 = 28
Therefore, the value for common factors is 28.
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 = 20980357677552/(1x28)
LCM = 20980357677552/28
LCM = 749298488484
Thus, we can understand that the LCM of 193,749,446,894,364 is 749298488484.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 749, 446, 894, 364
1. What is the LCM of 193, 749, 446, 894, 364?
Answer: LCM of 193, 749, 446, 894, 364 is 749298488484.
2. How to calculate the LCM of 193, 749, 446, 894, 364?
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 193, 749, 446, 894, 364.
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}.