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LCM of 831, 506, 847, 421, 721

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


Find the LCM of 831, 506, 847, 421, 721 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 831, 506, 847, 421, 721. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,506,847,421,721

Given numbers are 831,506,847,421,721

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

The LCM of 831,506,847,421,721 is 1403982150186.

Find LCM of 831,506,847,421,721 with Prime Factorization


7 831, 506, 847, 421, 721
11 831, 506, 121, 421, 103
831, 46, 11, 421, 103

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

7 x 11 x 831 x 46 x 11 x 421 x 103 = 1403982150186

Therefore, the lowest common multiple of 831,506,847,421,721 is 1403982150186.

LCM Formula to Find Lowest Common Multiple of 831,506,847,421,721

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.

831 x 506 x 847 x 421 x 721 = 108106625564322

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.

831 : 1, 3, 277, 831

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

847 : 1, 7, 11, 77, 121, 847

421 : 1, 421

721 : 1, 7, 103, 721

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,506,847,421,721, is 1.

Now, the common factors can be found like this.

831:3x 277

506:2x 11x 23

847:7x 11x 11

421:421

721:7x 103

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

7x 11 = 77

Therefore, the value for common factors is 77.

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 = 108106625564322/(1x77)

LCM = 108106625564322/77

LCM = 1403982150186

Thus, we can understand that the LCM of 831,506,847,421,721 is 1403982150186.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 506, 847, 421, 721

1. What is the LCM of 831, 506, 847, 421, 721?

Answer: LCM of 831, 506, 847, 421, 721 is 1403982150186.

2. How to calculate the LCM of 831, 506, 847, 421, 721?

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 831, 506, 847, 421, 721.

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}.