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LCM of 259, 780, 143, 618

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


Find the LCM of 259, 780, 143, 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 259, 780, 143, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 259,780,143,618

Given numbers are 259,780,143,618

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

The LCM of 259,780,143,618 is 228888660.

Find LCM of 259,780,143,618 with Prime Factorization


2 259, 780, 143, 618
3 259, 390, 143, 309
13 259, 130, 143, 103
259, 10, 11, 103

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

2 x 3 x 13 x 259 x 10 x 11 x 103 = 228888660

Therefore, the lowest common multiple of 259,780,143,618 is 228888660.

LCM Formula to Find Lowest Common Multiple of 259,780,143,618

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.

259 x 780 x 143 x 618 = 17853315480

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.

259 : 1, 7, 37, 259

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

143 : 1, 11, 13, 143

618 : 1, 2, 3, 6, 103, 206, 309, 618

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,780,143,618, is 1.

Now, the common factors can be found like this.

259:7x 37

780:2x 2x 3x 5x 13

143:11x 13

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 3x 13 = 78

Therefore, the value for common factors is 78.

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 = 17853315480/(1x78)

LCM = 17853315480/78

LCM = 228888660

Thus, we can understand that the LCM of 259,780,143,618 is 228888660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 259, 780, 143, 618

1. What is the LCM of 259, 780, 143, 618?

Answer: LCM of 259, 780, 143, 618 is 228888660.

2. How to calculate the LCM of 259, 780, 143, 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 259, 780, 143, 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}.