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LCM of 538, 566, 773, 820, 102

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


Find the LCM of 538, 566, 773, 820, 102 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 538, 566, 773, 820, 102. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 538,566,773,820,102

Given numbers are 538,566,773,820,102

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

The LCM of 538,566,773,820,102 is 2460946871220.

Find LCM of 538,566,773,820,102 with Prime Factorization


2 538, 566, 773, 820, 102
269, 283, 773, 410, 51

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

2 x 269 x 283 x 773 x 410 x 51 = 2460946871220

Therefore, the lowest common multiple of 538,566,773,820,102 is 2460946871220.

LCM Formula to Find Lowest Common Multiple of 538,566,773,820,102

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.

538 x 566 x 773 x 820 x 102 = 19687574969760

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.

538 : 1, 2, 269, 538

566 : 1, 2, 283, 566

773 : 1, 773

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

102 : 1, 2, 3, 6, 17, 34, 51, 102

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,566,773,820,102, is 1.

Now, the common factors can be found like this.

538:2x 269

566:2x 283

773:773

820:2x 2x 5x 41

102:2x 3x 17

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 2 = 8

Therefore, the value for common factors is 8.

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 = 19687574969760/(1x8)

LCM = 19687574969760/8

LCM = 2460946871220

Thus, we can understand that the LCM of 538,566,773,820,102 is 2460946871220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 538, 566, 773, 820, 102

1. What is the LCM of 538, 566, 773, 820, 102?

Answer: LCM of 538, 566, 773, 820, 102 is 2460946871220.

2. How to calculate the LCM of 538, 566, 773, 820, 102?

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 538, 566, 773, 820, 102.

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}.