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 781, 730, 913, 923, 649

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


Find the LCM of 781, 730, 913, 923, 649 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 781, 730, 913, 923, 649. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 781,730,913,923,649

Given numbers are 781,730,913,923,649

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

The LCM of 781,730,913,923,649 is 36295045930.

Find LCM of 781,730,913,923,649 with Prime Factorization


11 781, 730, 913, 923, 649
71 71, 730, 83, 923, 59
1, 730, 83, 13, 59

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

11 x 71 x 1 x 730 x 83 x 13 x 59 = 36295045930

Therefore, the lowest common multiple of 781,730,913,923,649 is 36295045930.

LCM Formula to Find Lowest Common Multiple of 781,730,913,923,649

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.

781 x 730 x 913 x 923 x 649 = 311810739584630

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.

781 : 1, 11, 71, 781

730 : 1, 2, 5, 10, 73, 146, 365, 730

913 : 1, 11, 83, 913

923 : 1, 13, 71, 923

649 : 1, 11, 59, 649

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,730,913,923,649, is 1.

Now, the common factors can be found like this.

781:11x 71

730:2x 5x 73

913:11x 83

923:13x 71

649:11x 59

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

11x 11x 71 = 8591

Therefore, the value for common factors is 8591.

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 = 311810739584630/(1x8591)

LCM = 311810739584630/8591

LCM = 36295045930

Thus, we can understand that the LCM of 781,730,913,923,649 is 36295045930.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 781, 730, 913, 923, 649

1. What is the LCM of 781, 730, 913, 923, 649?

Answer: LCM of 781, 730, 913, 923, 649 is 36295045930.

2. How to calculate the LCM of 781, 730, 913, 923, 649?

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 781, 730, 913, 923, 649.

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}.