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 791, 506, 565, 345

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


Find the LCM of 791, 506, 565, 345 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 791, 506, 565, 345. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 791,506,565,345

Given numbers are 791,506,565,345

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

The LCM of 791,506,565,345 is 6003690.

Find LCM of 791,506,565,345 with Prime Factorization


5 791, 506, 565, 345
23 791, 506, 113, 69
113 791, 22, 113, 3
7, 22, 1, 3

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

5 x 23 x 113 x 7 x 22 x 1 x 3 = 6003690

Therefore, the lowest common multiple of 791,506,565,345 is 6003690.

LCM Formula to Find Lowest Common Multiple of 791,506,565,345

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.

791 x 506 x 565 x 345 = 78017951550

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.

791 : 1, 7, 113, 791

506 : 1, 2, 11, 22, 23, 46, 253, 506

565 : 1, 5, 113, 565

345 : 1, 3, 5, 15, 23, 69, 115, 345

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 791,506,565,345, is 1.

Now, the common factors can be found like this.

791:7x 113

506:2x 11x 23

565:5x 113

345:3x 5x 23

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

5x 23x 113 = 12995

Therefore, the value for common factors is 12995.

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 = 78017951550/(1x12995)

LCM = 78017951550/12995

LCM = 6003690

Thus, we can understand that the LCM of 791,506,565,345 is 6003690.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 791, 506, 565, 345

1. What is the LCM of 791, 506, 565, 345?

Answer: LCM of 791, 506, 565, 345 is 6003690.

2. How to calculate the LCM of 791, 506, 565, 345?

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 791, 506, 565, 345.

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}.