LCM of 770, 919, 815, 481, 748
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 919, 815, 481, 748 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 770, 919, 815, 481, 748. So, keep reading to learn more.
Given numbers are 770,919,815,481,748
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,919,815,481,748 is 1886330706260.
Find LCM of 770,919,815,481,748 with Prime Factorization
| 2 | 770, 919, 815, 481, 748 |
| 5 | 385, 919, 815, 481, 374 |
| 11 | 77, 919, 163, 481, 374 |
| 7, 919, 163, 481, 34 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 7 x 919 x 163 x 481 x 34 = 1886330706260
Therefore, the lowest common multiple of 770,919,815,481,748 is 1886330706260.
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.
770 x 919 x 815 x 481 x 748 = 207496377688600
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.
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
919 : 1, 919
815 : 1, 5, 163, 815
481 : 1, 13, 37, 481
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,919,815,481,748, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
919:919
815:5x 163
481:13x 37
748:2x 2x 11x 17
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 11 = 110
Therefore, the value for common factors is 110.
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 = 207496377688600/(1x110)
LCM = 207496377688600/110
LCM = 1886330706260
Thus, we can understand that the LCM of 770,919,815,481,748 is 1886330706260.
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FAQs on LCM of 770, 919, 815, 481, 748
1. What is the LCM of 770, 919, 815, 481, 748?
Answer: LCM of 770, 919, 815, 481, 748 is 1886330706260.
2. How to calculate the LCM of 770, 919, 815, 481, 748?
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 770, 919, 815, 481, 748.
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}.