LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 548, 308, 906, 404, 760

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


Find the LCM of 548, 308, 906, 404, 760 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 548, 308, 906, 404, 760. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 548,308,906,404,760

Given numbers are 548,308,906,404,760

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

The LCM of 548,308,906,404,760 is 366812781720.

Find LCM of 548,308,906,404,760 with Prime Factorization


2 548, 308, 906, 404, 760
2 274, 154, 453, 202, 380
137, 77, 453, 101, 190

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

2 x 2 x 137 x 77 x 453 x 101 x 190 = 366812781720

Therefore, the lowest common multiple of 548,308,906,404,760 is 366812781720.

LCM Formula to Find Lowest Common Multiple of 548,308,906,404,760

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.

548 x 308 x 906 x 404 x 760 = 46952036060160

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.

548 : 1, 2, 4, 137, 274, 548

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

906 : 1, 2, 3, 6, 151, 302, 453, 906

404 : 1, 2, 4, 101, 202, 404

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 548,308,906,404,760, is 2.

Now, the common factors can be found like this.

548:2x 2x 137

308:2x 2x 7x 11

906:2x 3x 151

404:2x 2x 101

760:2x 2x 2x 5x 19

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 2x 2 = 64

Therefore, the value for common factors is 64.

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 = 46952036060160/(2x64)

LCM = 46952036060160/128

LCM = 366812781720

Thus, we can understand that the LCM of 548,308,906,404,760 is 366812781720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 548, 308, 906, 404, 760

1. What is the LCM of 548, 308, 906, 404, 760?

Answer: LCM of 548, 308, 906, 404, 760 is 366812781720.

2. How to calculate the LCM of 548, 308, 906, 404, 760?

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 548, 308, 906, 404, 760.

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}.