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LCM of 892, 844, 974, 710, 422

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


Find the LCM of 892, 844, 974, 710, 422 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 892, 844, 974, 710, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 892,844,974,710,422

Given numbers are 892,844,974,710,422

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

The LCM of 892,844,974,710,422 is 32539031620.

Find LCM of 892,844,974,710,422 with Prime Factorization


2 892, 844, 974, 710, 422
2 446, 422, 487, 355, 211
211 223, 211, 487, 355, 211
223, 1, 487, 355, 1

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

2 x 2 x 211 x 223 x 1 x 487 x 355 x 1 = 32539031620

Therefore, the lowest common multiple of 892,844,974,710,422 is 32539031620.

LCM Formula to Find Lowest Common Multiple of 892,844,974,710,422

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.

892 x 844 x 974 x 710 x 422 = 219703541498240

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.

892 : 1, 2, 4, 223, 446, 892

844 : 1, 2, 4, 211, 422, 844

974 : 1, 2, 487, 974

710 : 1, 2, 5, 10, 71, 142, 355, 710

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 892,844,974,710,422, is 2.

Now, the common factors can be found like this.

892:2x 2x 223

844:2x 2x 211

974:2x 487

710:2x 5x 71

422:2x 211

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 2x 211 = 3376

Therefore, the value for common factors is 3376.

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 = 219703541498240/(2x3376)

LCM = 219703541498240/6752

LCM = 32539031620

Thus, we can understand that the LCM of 892,844,974,710,422 is 32539031620.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 892, 844, 974, 710, 422

1. What is the LCM of 892, 844, 974, 710, 422?

Answer: LCM of 892, 844, 974, 710, 422 is 32539031620.

2. How to calculate the LCM of 892, 844, 974, 710, 422?

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 892, 844, 974, 710, 422.

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}.