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LCM of 466, 537, 940, 686

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


Find the LCM of 466, 537, 940, 686 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 466, 537, 940, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 466,537,940,686

Given numbers are 466,537,940,686

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

The LCM of 466,537,940,686 is 40341512820.

Find LCM of 466,537,940,686 with Prime Factorization


2 466, 537, 940, 686
233, 537, 470, 343

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

2 x 233 x 537 x 470 x 343 = 40341512820

Therefore, the lowest common multiple of 466,537,940,686 is 40341512820.

LCM Formula to Find Lowest Common Multiple of 466,537,940,686

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.

466 x 537 x 940 x 686 = 161366051280

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.

466 : 1, 2, 233, 466

537 : 1, 3, 179, 537

940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

686 : 1, 2, 7, 14, 49, 98, 343, 686

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 466,537,940,686, is 1.

Now, the common factors can be found like this.

466:2x 233

537:3x 179

940:2x 2x 5x 47

686:2x 7x 7x 7

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 = 161366051280/(1x4)

LCM = 161366051280/4

LCM = 40341512820

Thus, we can understand that the LCM of 466,537,940,686 is 40341512820.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 466, 537, 940, 686

1. What is the LCM of 466, 537, 940, 686?

Answer: LCM of 466, 537, 940, 686 is 40341512820.

2. How to calculate the LCM of 466, 537, 940, 686?

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 466, 537, 940, 686.

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}.