LCM of 193, 687, 147, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 193, 687, 147, 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 193, 687, 147, 749. So, keep reading to learn more.
Given numbers are 193,687,147,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 193,687,147,749 is 695174613.
Find LCM of 193,687,147,749 with Prime Factorization
| 3 | 193, 687, 147, 749 |
| 7 | 193, 229, 49, 749 |
| 193, 229, 7, 107 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 193 x 229 x 7 x 107 = 695174613
Therefore, the lowest common multiple of 193,687,147,749 is 695174613.
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 687 x 147 x 749 = 14598666873
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
687 : 1, 3, 229, 687
147 : 1, 3, 7, 21, 49, 147
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,687,147,749, is 1.
Now, the common factors can be found like this.
193:193
687:3x 229
147:3x 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.
3x 7 = 21
Therefore, the value for common factors is 21.
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 = 14598666873/(1x21)
LCM = 14598666873/21
LCM = 695174613
Thus, we can understand that the LCM of 193,687,147,749 is 695174613.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 193, 687, 147, 749
1. What is the LCM of 193, 687, 147, 749?
Answer: LCM of 193, 687, 147, 749 is 695174613.
2. How to calculate the LCM of 193, 687, 147, 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 193, 687, 147, 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}.