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LCM of 588, 853, 253, 442, 755

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


Find the LCM of 588, 853, 253, 442, 755 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, 853, 253, 442, 755. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 588,853,253,442,755

Given numbers are 588,853,253,442,755

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

The LCM of 588,853,253,442,755 is 21173180688660.

Find LCM of 588,853,253,442,755 with Prime Factorization


2 588, 853, 253, 442, 755
294, 853, 253, 221, 755

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

2 x 294 x 853 x 253 x 221 x 755 = 21173180688660

Therefore, the lowest common multiple of 588,853,253,442,755 is 21173180688660.

LCM Formula to Find Lowest Common Multiple of 588,853,253,442,755

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 853 x 253 x 442 x 755 = 42346361377320

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

853 : 1, 853

253 : 1, 11, 23, 253

442 : 1, 2, 13, 17, 26, 34, 221, 442

755 : 1, 5, 151, 755

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 588,853,253,442,755, is 1.

Now, the common factors can be found like this.

588:2x 2x 3x 7x 7

853:853

253:11x 23

442:2x 13x 17

755:5x 151

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

2 = 2

Therefore, the value for common factors is 2.

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 = 42346361377320/(1x2)

LCM = 42346361377320/2

LCM = 21173180688660

Thus, we can understand that the LCM of 588,853,253,442,755 is 21173180688660.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 588, 853, 253, 442, 755

1. What is the LCM of 588, 853, 253, 442, 755?

Answer: LCM of 588, 853, 253, 442, 755 is 21173180688660.

2. How to calculate the LCM of 588, 853, 253, 442, 755?

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, 853, 253, 442, 755.

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}.