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LCM of 942, 637, 540, 728

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


Find the LCM of 942, 637, 540, 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 942, 637, 540, 728. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 942,637,540,728

Given numbers are 942,637,540,728

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

The LCM of 942,637,540,728 is 108009720.

Find LCM of 942,637,540,728 with Prime Factorization


2 942, 637, 540, 728
2 471, 637, 270, 364
3 471, 637, 135, 182
7 157, 637, 45, 182
13 157, 91, 45, 26
157, 7, 45, 2

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

2 x 2 x 3 x 7 x 13 x 157 x 7 x 45 x 2 = 108009720

Therefore, the lowest common multiple of 942,637,540,728 is 108009720.

LCM Formula to Find Lowest Common Multiple of 942,637,540,728

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.

942 x 637 x 540 x 728 = 235893228480

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.

942 : 1, 2, 3, 6, 157, 314, 471, 942

637 : 1, 7, 13, 49, 91, 637

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 942,637,540,728, is 1.

Now, the common factors can be found like this.

942:2x 3x 157

637:7x 7x 13

540:2x 2x 3x 3x 3x 5

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 3x 7x 13 = 2184

Therefore, the value for common factors is 2184.

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 = 235893228480/(1x2184)

LCM = 235893228480/2184

LCM = 108009720

Thus, we can understand that the LCM of 942,637,540,728 is 108009720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 942, 637, 540, 728

1. What is the LCM of 942, 637, 540, 728?

Answer: LCM of 942, 637, 540, 728 is 108009720.

2. How to calculate the LCM of 942, 637, 540, 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 942, 637, 540, 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}.