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 422, 791, 723, 252, 680

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


Find the LCM of 422, 791, 723, 252, 680 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 422, 791, 723, 252, 680. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 422,791,723,252,680

Given numbers are 422,791,723,252,680

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

The LCM of 422,791,723,252,680 is 246165622920.

Find LCM of 422,791,723,252,680 with Prime Factorization


2 422, 791, 723, 252, 680
2 211, 791, 723, 126, 340
3 211, 791, 723, 63, 170
7 211, 791, 241, 21, 170
211, 113, 241, 3, 170

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

2 x 2 x 3 x 7 x 211 x 113 x 241 x 3 x 170 = 246165622920

Therefore, the lowest common multiple of 422,791,723,252,680 is 246165622920.

LCM Formula to Find Lowest Common Multiple of 422,791,723,252,680

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.

422 x 791 x 723 x 252 x 680 = 41355824650560

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.

422 : 1, 2, 211, 422

791 : 1, 7, 113, 791

723 : 1, 3, 241, 723

252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,791,723,252,680, is 1.

Now, the common factors can be found like this.

422:2x 211

791:7x 113

723:3x 241

252:2x 2x 3x 3x 7

680:2x 2x 2x 5x 17

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 3x 7 = 168

Therefore, the value for common factors is 168.

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 = 41355824650560/(1x168)

LCM = 41355824650560/168

LCM = 246165622920

Thus, we can understand that the LCM of 422,791,723,252,680 is 246165622920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 422, 791, 723, 252, 680

1. What is the LCM of 422, 791, 723, 252, 680?

Answer: LCM of 422, 791, 723, 252, 680 is 246165622920.

2. How to calculate the LCM of 422, 791, 723, 252, 680?

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 422, 791, 723, 252, 680.

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}.