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LCM of 496, 382, 888, 740

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


Find the LCM of 496, 382, 888, 740 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 496, 382, 888, 740. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 496,382,888,740

Given numbers are 496,382,888,740

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

The LCM of 496,382,888,740 is 52578480.

Find LCM of 496,382,888,740 with Prime Factorization


2 496, 382, 888, 740
2 248, 191, 444, 370
2 124, 191, 222, 185
37 62, 191, 111, 185
62, 191, 3, 5

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

2 x 2 x 2 x 37 x 62 x 191 x 3 x 5 = 52578480

Therefore, the lowest common multiple of 496,382,888,740 is 52578480.

LCM Formula to Find Lowest Common Multiple of 496,382,888,740

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.

496 x 382 x 888 x 740 = 124505840640

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.

496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496

382 : 1, 2, 191, 382

888 : 1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,382,888,740, is 2.

Now, the common factors can be found like this.

496:2x 2x 2x 2x 31

382:2x 191

888:2x 2x 2x 3x 37

740:2x 2x 5x 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 2x 2x 2x 37 = 1184

Therefore, the value for common factors is 1184.

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 = 124505840640/(2x1184)

LCM = 124505840640/2368

LCM = 52578480

Thus, we can understand that the LCM of 496,382,888,740 is 52578480.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 496, 382, 888, 740

1. What is the LCM of 496, 382, 888, 740?

Answer: LCM of 496, 382, 888, 740 is 52578480.

2. How to calculate the LCM of 496, 382, 888, 740?

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 496, 382, 888, 740.

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}.