LCM of 770, 410, 574, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 770, 410, 574, 391 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, 410, 574, 391. So, keep reading to learn more.
Given numbers are 770,410,574,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 770,410,574,391 is 12343870.
Find LCM of 770,410,574,391 with Prime Factorization
| 2 | 770, 410, 574, 391 |
| 5 | 385, 205, 287, 391 |
| 7 | 77, 41, 287, 391 |
| 41 | 11, 41, 41, 391 |
| 11, 1, 1, 391 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 41 x 11 x 1 x 1 x 391 = 12343870
Therefore, the lowest common multiple of 770,410,574,391 is 12343870.
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 410 x 574 x 391 = 70853813800
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
410 : 1, 2, 5, 10, 41, 82, 205, 410
574 : 1, 2, 7, 14, 41, 82, 287, 574
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 770,410,574,391, is 1.
Now, the common factors can be found like this.
770:2x 5x 7x 11
410:2x 5x 41
574:2x 7x 41
391:17x 23
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 5x 7x 41 = 5740
Therefore, the value for common factors is 5740.
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 = 70853813800/(1x5740)
LCM = 70853813800/5740
LCM = 12343870
Thus, we can understand that the LCM of 770,410,574,391 is 12343870.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 770, 410, 574, 391
1. What is the LCM of 770, 410, 574, 391?
Answer: LCM of 770, 410, 574, 391 is 12343870.
2. How to calculate the LCM of 770, 410, 574, 391?
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, 410, 574, 391.
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}.