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LCM of 812, 943, 473, 667

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


Find the LCM of 812, 943, 473, 667 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 812, 943, 473, 667. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 812,943,473,667

Given numbers are 812,943,473,667

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

The LCM of 812,943,473,667 is 362183668.

Find LCM of 812,943,473,667 with Prime Factorization


23 812, 943, 473, 667
29 812, 41, 473, 29
28, 41, 473, 1

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

23 x 29 x 28 x 41 x 473 x 1 = 362183668

Therefore, the lowest common multiple of 812,943,473,667 is 362183668.

LCM Formula to Find Lowest Common Multiple of 812,943,473,667

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.

812 x 943 x 473 x 667 = 241576506556

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.

812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

943 : 1, 23, 41, 943

473 : 1, 11, 43, 473

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 812,943,473,667, is 1.

Now, the common factors can be found like this.

812:2x 2x 7x 29

943:23x 41

473:11x 43

667:23x 29

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

23x 29 = 667

Therefore, the value for common factors is 667.

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 = 241576506556/(1x667)

LCM = 241576506556/667

LCM = 362183668

Thus, we can understand that the LCM of 812,943,473,667 is 362183668.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 812, 943, 473, 667

1. What is the LCM of 812, 943, 473, 667?

Answer: LCM of 812, 943, 473, 667 is 362183668.

2. How to calculate the LCM of 812, 943, 473, 667?

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 812, 943, 473, 667.

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}.