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LCM of 940, 856, 936

Find the LCM of 940, 856, 936 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, 856, 936. So, keep reading to learn more.


LCM of:

Calculate the LCM of 940,856,936

Given numbers are 940,856,936

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

The LCM of 940,856,936 is 23535720.

Find LCM of 940,856,936 with Prime Factorization


2 940, 856, 936
2 470, 428, 468
2 235, 214, 234
235, 107, 117

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

2 x 2 x 2 x 235 x 107 x 117 = 23535720

Therefore, the lowest common multiple of 940,856,936 is 23535720.

LCM Formula to Find Lowest Common Multiple of 940,856,936

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 856 x 936 = 753143040

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 940,856,936, is 4.

Now, the common factors can be found like this.

940:2x 2x 5x 47

856:2x 2x 2x 107

936:2x 2x 2x 3x 3x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 753143040/(4x8)

LCM = 753143040/32

LCM = 23535720

Thus, we can understand that the LCM of 940,856,936 is 23535720.

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

FAQs on LCM of 940, 856, 936

1. What is the LCM of 940, 856, 936?

Answer: LCM of 940, 856, 936 is 23535720.

2. How to calculate the LCM of 940, 856, 936?

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, 856, 936.

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}.