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LCM of 380, 399, 732, 688

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


Find the LCM of 380, 399, 732, 688 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 380, 399, 732, 688. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 380,399,732,688

Given numbers are 380,399,732,688

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

The LCM of 380,399,732,688 is 83726160.

Find LCM of 380,399,732,688 with Prime Factorization


2 380, 399, 732, 688
2 190, 399, 366, 344
3 95, 399, 183, 172
19 95, 133, 61, 172
5, 7, 61, 172

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

2 x 2 x 3 x 19 x 5 x 7 x 61 x 172 = 83726160

Therefore, the lowest common multiple of 380,399,732,688 is 83726160.

LCM Formula to Find Lowest Common Multiple of 380,399,732,688

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.

380 x 399 x 732 x 688 = 76358257920

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.

380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

399 : 1, 3, 7, 19, 21, 57, 133, 399

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

688 : 1, 2, 4, 8, 16, 43, 86, 172, 344, 688

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 380,399,732,688, is 1.

Now, the common factors can be found like this.

380:2x 2x 5x 19

399:3x 7x 19

732:2x 2x 3x 61

688:2x 2x 2x 2x 43

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 3x 19 = 912

Therefore, the value for common factors is 912.

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 = 76358257920/(1x912)

LCM = 76358257920/912

LCM = 83726160

Thus, we can understand that the LCM of 380,399,732,688 is 83726160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 380, 399, 732, 688

1. What is the LCM of 380, 399, 732, 688?

Answer: LCM of 380, 399, 732, 688 is 83726160.

2. How to calculate the LCM of 380, 399, 732, 688?

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 380, 399, 732, 688.

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}.