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LCM of 388, 893, 970, 751

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


Find the LCM of 388, 893, 970, 751 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 388, 893, 970, 751. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 388,893,970,751

Given numbers are 388,893,970,751

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

The LCM of 388,893,970,751 is 1301047420.

Find LCM of 388,893,970,751 with Prime Factorization


2 388, 893, 970, 751
97 194, 893, 485, 751
2, 893, 5, 751

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

2 x 97 x 2 x 893 x 5 x 751 = 1301047420

Therefore, the lowest common multiple of 388,893,970,751 is 1301047420.

LCM Formula to Find Lowest Common Multiple of 388,893,970,751

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.

388 x 893 x 970 x 751 = 252403199480

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.

388 : 1, 2, 4, 97, 194, 388

893 : 1, 19, 47, 893

970 : 1, 2, 5, 10, 97, 194, 485, 970

751 : 1, 751

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 388,893,970,751, is 1.

Now, the common factors can be found like this.

388:2x 2x 97

893:19x 47

970:2x 5x 97

751:751

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 97 = 194

Therefore, the value for common factors is 194.

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 = 252403199480/(1x194)

LCM = 252403199480/194

LCM = 1301047420

Thus, we can understand that the LCM of 388,893,970,751 is 1301047420.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 388, 893, 970, 751

1. What is the LCM of 388, 893, 970, 751?

Answer: LCM of 388, 893, 970, 751 is 1301047420.

2. How to calculate the LCM of 388, 893, 970, 751?

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 388, 893, 970, 751.

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}.