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LCM of 739, 990, 539, 888

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


Find the LCM of 739, 990, 539, 888 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 739, 990, 539, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 739,990,539,888

Given numbers are 739,990,539,888

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

The LCM of 739,990,539,888 is 5305635720.

Find LCM of 739,990,539,888 with Prime Factorization


2 739, 990, 539, 888
3 739, 495, 539, 444
11 739, 165, 539, 148
739, 15, 49, 148

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

2 x 3 x 11 x 739 x 15 x 49 x 148 = 5305635720

Therefore, the lowest common multiple of 739,990,539,888 is 5305635720.

LCM Formula to Find Lowest Common Multiple of 739,990,539,888

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.

739 x 990 x 539 x 888 = 350171957520

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.

739 : 1, 739

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

539 : 1, 7, 11, 49, 77, 539

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 739,990,539,888, is 1.

Now, the common factors can be found like this.

739:739

990:2x 3x 3x 5x 11

539:7x 7x 11

888:2x 2x 2x 3x 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 3x 11 = 66

Therefore, the value for common factors is 66.

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 = 350171957520/(1x66)

LCM = 350171957520/66

LCM = 5305635720

Thus, we can understand that the LCM of 739,990,539,888 is 5305635720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 739, 990, 539, 888

1. What is the LCM of 739, 990, 539, 888?

Answer: LCM of 739, 990, 539, 888 is 5305635720.

2. How to calculate the LCM of 739, 990, 539, 888?

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 739, 990, 539, 888.

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}.