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LCM of 821, 402, 484, 407, 833

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


Find the LCM of 821, 402, 484, 407, 833 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 821, 402, 484, 407, 833. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 821,402,484,407,833

Given numbers are 821,402,484,407,833

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

The LCM of 821,402,484,407,833 is 2461678324644.

Find LCM of 821,402,484,407,833 with Prime Factorization


2 821, 402, 484, 407, 833
11 821, 201, 242, 407, 833
821, 201, 22, 37, 833

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

2 x 11 x 821 x 201 x 22 x 37 x 833 = 2461678324644

Therefore, the lowest common multiple of 821,402,484,407,833 is 2461678324644.

LCM Formula to Find Lowest Common Multiple of 821,402,484,407,833

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.

821 x 402 x 484 x 407 x 833 = 54156923142168

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.

821 : 1, 821

402 : 1, 2, 3, 6, 67, 134, 201, 402

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

407 : 1, 11, 37, 407

833 : 1, 7, 17, 49, 119, 833

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 821,402,484,407,833, is 1.

Now, the common factors can be found like this.

821:821

402:2x 3x 67

484:2x 2x 11x 11

407:11x 37

833:7x 7x 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 11 = 22

Therefore, the value for common factors is 22.

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 = 54156923142168/(1x22)

LCM = 54156923142168/22

LCM = 2461678324644

Thus, we can understand that the LCM of 821,402,484,407,833 is 2461678324644.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 821, 402, 484, 407, 833

1. What is the LCM of 821, 402, 484, 407, 833?

Answer: LCM of 821, 402, 484, 407, 833 is 2461678324644.

2. How to calculate the LCM of 821, 402, 484, 407, 833?

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 821, 402, 484, 407, 833.

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}.