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LCM of 940, 753, 862, 686

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


Find the LCM of 940, 753, 862, 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 940, 753, 862, 686. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 940,753,862,686

Given numbers are 940,753,862,686

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

The LCM of 940,753,862,686 is 104639154060.

Find LCM of 940,753,862,686 with Prime Factorization


2 940, 753, 862, 686
470, 753, 431, 343

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

2 x 470 x 753 x 431 x 343 = 104639154060

Therefore, the lowest common multiple of 940,753,862,686 is 104639154060.

LCM Formula to Find Lowest Common Multiple of 940,753,862,686

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.

940 x 753 x 862 x 686 = 418556616240

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.

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

753 : 1, 3, 251, 753

862 : 1, 2, 431, 862

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 940,753,862,686, is 1.

Now, the common factors can be found like this.

940:2x 2x 5x 47

753:3x 251

862:2x 431

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 = 418556616240/(1x4)

LCM = 418556616240/4

LCM = 104639154060

Thus, we can understand that the LCM of 940,753,862,686 is 104639154060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 940, 753, 862, 686

1. What is the LCM of 940, 753, 862, 686?

Answer: LCM of 940, 753, 862, 686 is 104639154060.

2. How to calculate the LCM of 940, 753, 862, 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 940, 753, 862, 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}.