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LCM of 283, 565, 565, 534

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


Find the LCM of 283, 565, 565, 534 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 283, 565, 565, 534. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 283,565,565,534

Given numbers are 283,565,565,534

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

The LCM of 283,565,565,534 is 85383930.

Find LCM of 283,565,565,534 with Prime Factorization


5 283, 565, 565, 534
113 283, 113, 113, 534
283, 1, 1, 534

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

5 x 113 x 283 x 1 x 1 x 534 = 85383930

Therefore, the lowest common multiple of 283,565,565,534 is 85383930.

LCM Formula to Find Lowest Common Multiple of 283,565,565,534

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.

283 x 565 x 565 x 534 = 48241920450

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.

283 : 1, 283

565 : 1, 5, 113, 565

565 : 1, 5, 113, 565

534 : 1, 2, 3, 6, 89, 178, 267, 534

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 283,565,565,534, is 1.

Now, the common factors can be found like this.

283:283

565:5x 113

565:5x 113

534:2x 3x 89

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

5x 113 = 565

Therefore, the value for common factors is 565.

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 = 48241920450/(1x565)

LCM = 48241920450/565

LCM = 85383930

Thus, we can understand that the LCM of 283,565,565,534 is 85383930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 283, 565, 565, 534

1. What is the LCM of 283, 565, 565, 534?

Answer: LCM of 283, 565, 565, 534 is 85383930.

2. How to calculate the LCM of 283, 565, 565, 534?

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 283, 565, 565, 534.

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}.