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LCM of 218, 540, 564, 142, 747

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


Find the LCM of 218, 540, 564, 142, 747 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 218, 540, 564, 142, 747. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 218,540,564,142,747

Given numbers are 218,540,564,142,747

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

The LCM of 218,540,564,142,747 is 16302513060.

Find LCM of 218,540,564,142,747 with Prime Factorization


2 218, 540, 564, 142, 747
2 109, 270, 282, 71, 747
3 109, 135, 141, 71, 747
3 109, 45, 47, 71, 249
109, 15, 47, 71, 83

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

2 x 2 x 3 x 3 x 109 x 15 x 47 x 71 x 83 = 16302513060

Therefore, the lowest common multiple of 218,540,564,142,747 is 16302513060.

LCM Formula to Find Lowest Common Multiple of 218,540,564,142,747

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.

218 x 540 x 564 x 142 x 747 = 7042685641920

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.

218 : 1, 2, 109, 218

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

142 : 1, 2, 71, 142

747 : 1, 3, 9, 83, 249, 747

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 218,540,564,142,747, is 1.

Now, the common factors can be found like this.

218:2x 109

540:2x 2x 3x 3x 3x 5

564:2x 2x 3x 47

142:2x 71

747:3x 3x 83

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 7042685641920/(1x432)

LCM = 7042685641920/432

LCM = 16302513060

Thus, we can understand that the LCM of 218,540,564,142,747 is 16302513060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 218, 540, 564, 142, 747

1. What is the LCM of 218, 540, 564, 142, 747?

Answer: LCM of 218, 540, 564, 142, 747 is 16302513060.

2. How to calculate the LCM of 218, 540, 564, 142, 747?

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 218, 540, 564, 142, 747.

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}.