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LCM of 314, 699, 723, 888

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


Find the LCM of 314, 699, 723, 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 314, 699, 723, 888. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,699,723,888

Given numbers are 314,699,723,888

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

The LCM of 314,699,723,888 is 7828626648.

Find LCM of 314,699,723,888 with Prime Factorization


2 314, 699, 723, 888
3 157, 699, 723, 444
157, 233, 241, 148

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

2 x 3 x 157 x 233 x 241 x 148 = 7828626648

Therefore, the lowest common multiple of 314,699,723,888 is 7828626648.

LCM Formula to Find Lowest Common Multiple of 314,699,723,888

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.

314 x 699 x 723 x 888 = 140915279664

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.

314 : 1, 2, 157, 314

699 : 1, 3, 233, 699

723 : 1, 3, 241, 723

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 314,699,723,888, is 1.

Now, the common factors can be found like this.

314:2x 157

699:3x 233

723:3x 241

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 3 = 18

Therefore, the value for common factors is 18.

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 = 140915279664/(1x18)

LCM = 140915279664/18

LCM = 7828626648

Thus, we can understand that the LCM of 314,699,723,888 is 7828626648.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 699, 723, 888

1. What is the LCM of 314, 699, 723, 888?

Answer: LCM of 314, 699, 723, 888 is 7828626648.

2. How to calculate the LCM of 314, 699, 723, 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 314, 699, 723, 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}.