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LCM of 964, 547, 946, 811

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


Find the LCM of 964, 547, 946, 811 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 964, 547, 946, 811. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 964,547,946,811

Given numbers are 964,547,946,811

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

The LCM of 964,547,946,811 is 202276930724.

Find LCM of 964,547,946,811 with Prime Factorization


2 964, 547, 946, 811
482, 547, 473, 811

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

2 x 482 x 547 x 473 x 811 = 202276930724

Therefore, the lowest common multiple of 964,547,946,811 is 202276930724.

LCM Formula to Find Lowest Common Multiple of 964,547,946,811

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.

964 x 547 x 946 x 811 = 404553861448

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.

964 : 1, 2, 4, 241, 482, 964

547 : 1, 547

946 : 1, 2, 11, 22, 43, 86, 473, 946

811 : 1, 811

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 964,547,946,811, is 1.

Now, the common factors can be found like this.

964:2x 2x 241

547:547

946:2x 11x 43

811:811

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

2 = 2

Therefore, the value for common factors is 2.

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 = 404553861448/(1x2)

LCM = 404553861448/2

LCM = 202276930724

Thus, we can understand that the LCM of 964,547,946,811 is 202276930724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 964, 547, 946, 811

1. What is the LCM of 964, 547, 946, 811?

Answer: LCM of 964, 547, 946, 811 is 202276930724.

2. How to calculate the LCM of 964, 547, 946, 811?

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 964, 547, 946, 811.

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}.