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LCM of 937, 752, 583, 546

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


Find the LCM of 937, 752, 583, 546 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 937, 752, 583, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 937,752,583,546

Given numbers are 937,752,583,546

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

The LCM of 937,752,583,546 is 112147251216.

Find LCM of 937,752,583,546 with Prime Factorization


2 937, 752, 583, 546
937, 376, 583, 273

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

2 x 937 x 376 x 583 x 273 = 112147251216

Therefore, the lowest common multiple of 937,752,583,546 is 112147251216.

LCM Formula to Find Lowest Common Multiple of 937,752,583,546

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.

937 x 752 x 583 x 546 = 224294502432

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.

937 : 1, 937

752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752

583 : 1, 11, 53, 583

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 937,752,583,546, is 1.

Now, the common factors can be found like this.

937:937

752:2x 2x 2x 2x 47

583:11x 53

546:2x 3x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 224294502432/(1x2)

LCM = 224294502432/2

LCM = 112147251216

Thus, we can understand that the LCM of 937,752,583,546 is 112147251216.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 937, 752, 583, 546

1. What is the LCM of 937, 752, 583, 546?

Answer: LCM of 937, 752, 583, 546 is 112147251216.

2. How to calculate the LCM of 937, 752, 583, 546?

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 937, 752, 583, 546.

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}.