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LCM of 947, 422, 206, 676

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


Find the LCM of 947, 422, 206, 676 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 947, 422, 206, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 947,422,206,676

Given numbers are 947,422,206,676

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

The LCM of 947,422,206,676 is 13912858076.

Find LCM of 947,422,206,676 with Prime Factorization


2 947, 422, 206, 676
947, 211, 103, 338

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

2 x 947 x 211 x 103 x 338 = 13912858076

Therefore, the lowest common multiple of 947,422,206,676 is 13912858076.

LCM Formula to Find Lowest Common Multiple of 947,422,206,676

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.

947 x 422 x 206 x 676 = 55651432304

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.

947 : 1, 947

422 : 1, 2, 211, 422

206 : 1, 2, 103, 206

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 947,422,206,676, is 1.

Now, the common factors can be found like this.

947:947

422:2x 211

206:2x 103

676:2x 2x 13x 13

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 55651432304/(1x4)

LCM = 55651432304/4

LCM = 13912858076

Thus, we can understand that the LCM of 947,422,206,676 is 13912858076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 947, 422, 206, 676

1. What is the LCM of 947, 422, 206, 676?

Answer: LCM of 947, 422, 206, 676 is 13912858076.

2. How to calculate the LCM of 947, 422, 206, 676?

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 947, 422, 206, 676.

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}.