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LCM of 546, 206, 824, 520

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


Find the LCM of 546, 206, 824, 520 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 546, 206, 824, 520. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,206,824,520

Given numbers are 546,206,824,520

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

The LCM of 546,206,824,520 is 1124760.

Find LCM of 546,206,824,520 with Prime Factorization


2 546, 206, 824, 520
2 273, 103, 412, 260
2 273, 103, 206, 130
13 273, 103, 103, 65
103 21, 103, 103, 5
21, 1, 1, 5

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

2 x 2 x 2 x 13 x 103 x 21 x 1 x 1 x 5 = 1124760

Therefore, the lowest common multiple of 546,206,824,520 is 1124760.

LCM Formula to Find Lowest Common Multiple of 546,206,824,520

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.

546 x 206 x 824 x 520 = 48193716480

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.

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

206 : 1, 2, 103, 206

824 : 1, 2, 4, 8, 103, 206, 412, 824

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,206,824,520, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

206:2x 103

824:2x 2x 2x 103

520:2x 2x 2x 5x 13

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 2x 2x 13x 103 = 21424

Therefore, the value for common factors is 21424.

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 = 48193716480/(2x21424)

LCM = 48193716480/42848

LCM = 1124760

Thus, we can understand that the LCM of 546,206,824,520 is 1124760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 206, 824, 520

1. What is the LCM of 546, 206, 824, 520?

Answer: LCM of 546, 206, 824, 520 is 1124760.

2. How to calculate the LCM of 546, 206, 824, 520?

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 546, 206, 824, 520.

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}.