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LCM of 760, 263, 801, 267, 993

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


Find the LCM of 760, 263, 801, 267, 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 760, 263, 801, 267, 993. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 760,263,801,267,993

Given numbers are 760,263,801,267,993

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

The LCM of 760,263,801,267,993 is 52994384280.

Find LCM of 760,263,801,267,993 with Prime Factorization


3 760, 263, 801, 267, 993
89 760, 263, 267, 89, 331
760, 263, 3, 1, 331

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

3 x 89 x 760 x 263 x 3 x 1 x 331 = 52994384280

Therefore, the lowest common multiple of 760,263,801,267,993 is 52994384280.

LCM Formula to Find Lowest Common Multiple of 760,263,801,267,993

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.

760 x 263 x 801 x 267 x 993 = 42448501808280

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.

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

263 : 1, 263

801 : 1, 3, 9, 89, 267, 801

267 : 1, 3, 89, 267

993 : 1, 3, 331, 993

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 760,263,801,267,993, is 1.

Now, the common factors can be found like this.

760:2x 2x 2x 5x 19

263:263

801:3x 3x 89

267:3x 89

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.

3x 3x 89 = 801

Therefore, the value for common factors is 801.

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 = 42448501808280/(1x801)

LCM = 42448501808280/801

LCM = 52994384280

Thus, we can understand that the LCM of 760,263,801,267,993 is 52994384280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 760, 263, 801, 267, 993

1. What is the LCM of 760, 263, 801, 267, 993?

Answer: LCM of 760, 263, 801, 267, 993 is 52994384280.

2. How to calculate the LCM of 760, 263, 801, 267, 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 760, 263, 801, 267, 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}.