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LCM of 495, 675, 740, 592

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


Find the LCM of 495, 675, 740, 592 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 495, 675, 740, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 495,675,740,592

Given numbers are 495,675,740,592

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

The LCM of 495,675,740,592 is 4395600.

Find LCM of 495,675,740,592 with Prime Factorization


2 495, 675, 740, 592
2 495, 675, 370, 296
3 495, 675, 185, 148
3 165, 225, 185, 148
5 55, 75, 185, 148
37 11, 15, 37, 148
11, 15, 1, 4

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

2 x 2 x 3 x 3 x 5 x 37 x 11 x 15 x 1 x 4 = 4395600

Therefore, the lowest common multiple of 495,675,740,592 is 4395600.

LCM Formula to Find Lowest Common Multiple of 495,675,740,592

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.

495 x 675 x 740 x 592 = 146373480000

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.

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

740 : 1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 495,675,740,592, is 1.

Now, the common factors can be found like this.

495:3x 3x 5x 11

675:3x 3x 3x 5x 5

740:2x 2x 5x 37

592:2x 2x 2x 2x 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 3x 3x 5x 5x 37 = 33300

Therefore, the value for common factors is 33300.

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 = 146373480000/(1x33300)

LCM = 146373480000/33300

LCM = 4395600

Thus, we can understand that the LCM of 495,675,740,592 is 4395600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 495, 675, 740, 592

1. What is the LCM of 495, 675, 740, 592?

Answer: LCM of 495, 675, 740, 592 is 4395600.

2. How to calculate the LCM of 495, 675, 740, 592?

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 495, 675, 740, 592.

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}.