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LCM of 940, 458, 884, 728

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


Find the LCM of 940, 458, 884, 728 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, 458, 884, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 940,458,884,728

Given numbers are 940,458,884,728

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

The LCM of 940,458,884,728 is 666014440.

Find LCM of 940,458,884,728 with Prime Factorization


2 940, 458, 884, 728
2 470, 229, 442, 364
13 235, 229, 221, 182
235, 229, 17, 14

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

2 x 2 x 13 x 235 x 229 x 17 x 14 = 666014440

Therefore, the lowest common multiple of 940,458,884,728 is 666014440.

LCM Formula to Find Lowest Common Multiple of 940,458,884,728

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 458 x 884 x 728 = 277062007040

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

458 : 1, 2, 229, 458

884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,458,884,728, is 2.

Now, the common factors can be found like this.

940:2x 2x 5x 47

458:2x 229

884:2x 2x 13x 17

728:2x 2x 2x 7x 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 2x 2x 2x 13 = 208

Therefore, the value for common factors is 208.

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 = 277062007040/(2x208)

LCM = 277062007040/416

LCM = 666014440

Thus, we can understand that the LCM of 940,458,884,728 is 666014440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 940, 458, 884, 728

1. What is the LCM of 940, 458, 884, 728?

Answer: LCM of 940, 458, 884, 728 is 666014440.

2. How to calculate the LCM of 940, 458, 884, 728?

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, 458, 884, 728.

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}.