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LCM of 477, 578, 782, 548

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


Find the LCM of 477, 578, 782, 548 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 477, 578, 782, 548. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 477,578,782,548

Given numbers are 477,578,782,548

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

The LCM of 477,578,782,548 is 1737499212.

Find LCM of 477,578,782,548 with Prime Factorization


2 477, 578, 782, 548
17 477, 289, 391, 274
477, 17, 23, 274

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

2 x 17 x 477 x 17 x 23 x 274 = 1737499212

Therefore, the lowest common multiple of 477,578,782,548 is 1737499212.

LCM Formula to Find Lowest Common Multiple of 477,578,782,548

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.

477 x 578 x 782 x 548 = 118149946416

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.

477 : 1, 3, 9, 53, 159, 477

578 : 1, 2, 17, 34, 289, 578

782 : 1, 2, 17, 23, 34, 46, 391, 782

548 : 1, 2, 4, 137, 274, 548

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 477,578,782,548, is 1.

Now, the common factors can be found like this.

477:3x 3x 53

578:2x 17x 17

782:2x 17x 23

548:2x 2x 137

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 17 = 68

Therefore, the value for common factors is 68.

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 = 118149946416/(1x68)

LCM = 118149946416/68

LCM = 1737499212

Thus, we can understand that the LCM of 477,578,782,548 is 1737499212.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 477, 578, 782, 548

1. What is the LCM of 477, 578, 782, 548?

Answer: LCM of 477, 578, 782, 548 is 1737499212.

2. How to calculate the LCM of 477, 578, 782, 548?

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 477, 578, 782, 548.

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}.