LCM of 385, 766, 770, 749
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 385, 766, 770, 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 385, 766, 770, 749. So, keep reading to learn more.
Given numbers are 385,766,770,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 385,766,770,749 is 31555370.
Find LCM of 385,766,770,749 with Prime Factorization
| 2 | 385, 766, 770, 749 |
| 5 | 385, 383, 385, 749 |
| 7 | 77, 383, 77, 749 |
| 11 | 11, 383, 11, 107 |
| 1, 383, 1, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 1 x 383 x 1 x 107 = 31555370
Therefore, the lowest common multiple of 385,766,770,749 is 31555370.
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.
385 x 766 x 770 x 749 = 170083444300
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.
385 : 1, 5, 7, 11, 35, 55, 77, 385
766 : 1, 2, 383, 766
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 385,766,770,749, is 1.
Now, the common factors can be found like this.
385:5x 7x 11
766:2x 383
770:2x 5x 7x 11
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 5x 7x 7x 11 = 5390
Therefore, the value for common factors is 5390.
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 = 170083444300/(1x5390)
LCM = 170083444300/5390
LCM = 31555370
Thus, we can understand that the LCM of 385,766,770,749 is 31555370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 385, 766, 770, 749
1. What is the LCM of 385, 766, 770, 749?
Answer: LCM of 385, 766, 770, 749 is 31555370.
2. How to calculate the LCM of 385, 766, 770, 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 385, 766, 770, 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}.