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LCM of 588, 542, 235, 142

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


Find the LCM of 588, 542, 235, 142 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 588, 542, 235, 142. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 588,542,235,142

Given numbers are 588,542,235,142

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

The LCM of 588,542,235,142 is 2658721380.

Find LCM of 588,542,235,142 with Prime Factorization


2 588, 542, 235, 142
294, 271, 235, 71

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

2 x 294 x 271 x 235 x 71 = 2658721380

Therefore, the lowest common multiple of 588,542,235,142 is 2658721380.

LCM Formula to Find Lowest Common Multiple of 588,542,235,142

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.

588 x 542 x 235 x 142 = 10634885520

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.

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

542 : 1, 2, 271, 542

235 : 1, 5, 47, 235

142 : 1, 2, 71, 142

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,542,235,142, is 1.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

542:2x 271

235:5x 47

142:2x 71

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 10634885520/(1x4)

LCM = 10634885520/4

LCM = 2658721380

Thus, we can understand that the LCM of 588,542,235,142 is 2658721380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 588, 542, 235, 142

1. What is the LCM of 588, 542, 235, 142?

Answer: LCM of 588, 542, 235, 142 is 2658721380.

2. How to calculate the LCM of 588, 542, 235, 142?

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 588, 542, 235, 142.

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}.