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LCM of 1059, 1854

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 1059, 1854 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 1059, 1854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 1059,1854

Given numbers are 1059,1854

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 1059,1854 is 654462.

Find LCM of 1059,1854 with Prime Factorization


3 1059, 1854
353, 618

Multiply the prime numbers at the bottom and the left side.

3 x 353 x 618 = 654462

Therefore, the lowest common multiple of 1059,1854 is 654462.

LCM Formula to Find Lowest Common Multiple of 1059,1854

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.

1059 x 1854 = 1963386

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.

1059 : 1, 3, 353, 1059

1854 : 1, 2, 3, 6, 9, 18, 103, 206, 309, 618, 927, 1854

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 1059,1854, is 3.

Now, the common factors can be found like this.

1059:3x 353

1854:2x 3x 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.

= 1

Therefore, the value for common factors is 1.

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 = 1963386/(3x1)

LCM = 1963386/3

LCM = 654462

Thus, we can understand that the LCM of 1059,1854 is 654462.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 1059, 1854

1. What is the LCM of 1059, 1854?

Answer: LCM of 1059, 1854 is 654462.

2. How to calculate the LCM of 1059, 1854?

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 1059, 1854.

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}.