LCM of 970, 820, 574, 618
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 970, 820, 574, 618 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 970, 820, 574, 618. So, keep reading to learn more.
Given numbers are 970,820,574,618
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 970,820,574,618 is 172045020.
Find LCM of 970,820,574,618 with Prime Factorization
| 2 | 970, 820, 574, 618 |
| 5 | 485, 410, 287, 309 |
| 41 | 97, 82, 287, 309 |
| 97, 2, 7, 309 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 41 x 97 x 2 x 7 x 309 = 172045020
Therefore, the lowest common multiple of 970,820,574,618 is 172045020.
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.
970 x 820 x 574 x 618 = 282153832800
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.
970 : 1, 2, 5, 10, 97, 194, 485, 970
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
574 : 1, 2, 7, 14, 41, 82, 287, 574
618 : 1, 2, 3, 6, 103, 206, 309, 618
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 970,820,574,618, is 2.
Now, the common factors can be found like this.
970:2x 5x 97
820:2x 2x 5x 41
574:2x 7x 41
618:2x 3x 103
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 41 = 820
Therefore, the value for common factors is 820.
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 = 282153832800/(2x820)
LCM = 282153832800/1640
LCM = 172045020
Thus, we can understand that the LCM of 970,820,574,618 is 172045020.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 970, 820, 574, 618
1. What is the LCM of 970, 820, 574, 618?
Answer: LCM of 970, 820, 574, 618 is 172045020.
2. How to calculate the LCM of 970, 820, 574, 618?
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 970, 820, 574, 618.
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}.