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LCM of 314, 538, 760, 993

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


Find the LCM of 314, 538, 760, 993 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, 538, 760, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 314,538,760,993

Given numbers are 314,538,760,993

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

The LCM of 314,538,760,993 is 31872400440.

Find LCM of 314,538,760,993 with Prime Factorization


2 314, 538, 760, 993
157, 269, 380, 993

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

2 x 157 x 269 x 380 x 993 = 31872400440

Therefore, the lowest common multiple of 314,538,760,993 is 31872400440.

LCM Formula to Find Lowest Common Multiple of 314,538,760,993

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 538 x 760 x 993 = 127489601760

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

538 : 1, 2, 269, 538

760 : 1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,538,760,993, is 1.

Now, the common factors can be found like this.

314:2x 157

538:2x 269

760:2x 2x 2x 5x 19

993:3x 331

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 127489601760/(1x4)

LCM = 127489601760/4

LCM = 31872400440

Thus, we can understand that the LCM of 314,538,760,993 is 31872400440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 314, 538, 760, 993

1. What is the LCM of 314, 538, 760, 993?

Answer: LCM of 314, 538, 760, 993 is 31872400440.

2. How to calculate the LCM of 314, 538, 760, 993?

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, 538, 760, 993.

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}.