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LCM of 142, 112, 289, 820

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


Find the LCM of 142, 112, 289, 820 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 142, 112, 289, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 142,112,289,820

Given numbers are 142,112,289,820

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

The LCM of 142,112,289,820 is 471116240.

Find LCM of 142,112,289,820 with Prime Factorization


2 142, 112, 289, 820
2 71, 56, 289, 410
71, 28, 289, 205

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

2 x 2 x 71 x 28 x 289 x 205 = 471116240

Therefore, the lowest common multiple of 142,112,289,820 is 471116240.

LCM Formula to Find Lowest Common Multiple of 142,112,289,820

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.

142 x 112 x 289 x 820 = 3768929920

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.

142 : 1, 2, 71, 142

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

289 : 1, 17, 289

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 142,112,289,820, is 1.

Now, the common factors can be found like this.

142:2x 71

112:2x 2x 2x 2x 7

289:17x 17

820:2x 2x 5x 41

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 2 = 8

Therefore, the value for common factors is 8.

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 = 3768929920/(1x8)

LCM = 3768929920/8

LCM = 471116240

Thus, we can understand that the LCM of 142,112,289,820 is 471116240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 142, 112, 289, 820

1. What is the LCM of 142, 112, 289, 820?

Answer: LCM of 142, 112, 289, 820 is 471116240.

2. How to calculate the LCM of 142, 112, 289, 820?

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 142, 112, 289, 820.

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}.