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LCM of 546, 874, 200, 200, 666

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


Find the LCM of 546, 874, 200, 200, 666 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, 874, 200, 200, 666. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 546,874,200,200,666

Given numbers are 546,874,200,200,666

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

The LCM of 546,874,200,200,666 is 2648482200.

Find LCM of 546,874,200,200,666 with Prime Factorization


2 546, 874, 200, 200, 666
2 273, 437, 100, 100, 333
2 273, 437, 50, 50, 333
3 273, 437, 25, 25, 333
5 91, 437, 25, 25, 111
5 91, 437, 5, 5, 111
91, 437, 1, 1, 111

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

2 x 2 x 2 x 3 x 5 x 5 x 91 x 437 x 1 x 1 x 111 = 2648482200

Therefore, the lowest common multiple of 546,874,200,200,666 is 2648482200.

LCM Formula to Find Lowest Common Multiple of 546,874,200,200,666

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 874 x 200 x 200 x 666 = 12712714560000

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

874 : 1, 2, 19, 23, 38, 46, 437, 874

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

666 : 1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 546,874,200,200,666, is 2.

Now, the common factors can be found like this.

546:2x 3x 7x 13

874:2x 19x 23

200:2x 2x 2x 5x 5

200:2x 2x 2x 5x 5

666:2x 3x 3x 37

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 2x 3x 5x 5 = 2400

Therefore, the value for common factors is 2400.

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 = 12712714560000/(2x2400)

LCM = 12712714560000/4800

LCM = 2648482200

Thus, we can understand that the LCM of 546,874,200,200,666 is 2648482200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 546, 874, 200, 200, 666

1. What is the LCM of 546, 874, 200, 200, 666?

Answer: LCM of 546, 874, 200, 200, 666 is 2648482200.

2. How to calculate the LCM of 546, 874, 200, 200, 666?

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, 874, 200, 200, 666.

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}.