LCM of 770, 926, 838, 493
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 926, 838, 493 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, 926, 838, 493. So, keep reading to learn more.
Given numbers are 770,926,838,493
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,926,838,493 is 73643201170.
Find LCM of 770,926,838,493 with Prime Factorization
| 2 | 770, 926, 838, 493 |
| 385, 463, 419, 493 |
Multiply the prime numbers at the bottom and the left side.
2 x 385 x 463 x 419 x 493 = 73643201170
Therefore, the lowest common multiple of 770,926,838,493 is 73643201170.
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 926 x 838 x 493 = 294572804680
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
926 : 1, 2, 463, 926
838 : 1, 2, 419, 838
493 : 1, 17, 29, 493
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,926,838,493, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
926:2x 463
838:2x 419
493:17x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2 = 4
Therefore, the value for common factors is 4.
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 = 294572804680/(1x4)
LCM = 294572804680/4
LCM = 73643201170
Thus, we can understand that the LCM of 770,926,838,493 is 73643201170.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 770, 926, 838, 493
1. What is the LCM of 770, 926, 838, 493?
Answer: LCM of 770, 926, 838, 493 is 73643201170.
2. How to calculate the LCM of 770, 926, 838, 493?
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, 926, 838, 493.
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}.