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LCM of 761, 363, 622, 457, 112

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


Find the LCM of 761, 363, 622, 457, 112 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 761, 363, 622, 457, 112. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 761,363,622,457,112

Given numbers are 761,363,622,457,112

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

The LCM of 761,363,622,457,112 is 4397297952432.

Find LCM of 761,363,622,457,112 with Prime Factorization


2 761, 363, 622, 457, 112
761, 363, 311, 457, 56

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

2 x 761 x 363 x 311 x 457 x 56 = 4397297952432

Therefore, the lowest common multiple of 761,363,622,457,112 is 4397297952432.

LCM Formula to Find Lowest Common Multiple of 761,363,622,457,112

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.

761 x 363 x 622 x 457 x 112 = 8794595904864

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.

761 : 1, 761

363 : 1, 3, 11, 33, 121, 363

622 : 1, 2, 311, 622

457 : 1, 457

112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 761,363,622,457,112, is 1.

Now, the common factors can be found like this.

761:761

363:3x 11x 11

622:2x 311

457:457

112:2x 2x 2x 2x 7

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 = 8794595904864/(1x2)

LCM = 8794595904864/2

LCM = 4397297952432

Thus, we can understand that the LCM of 761,363,622,457,112 is 4397297952432.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 761, 363, 622, 457, 112

1. What is the LCM of 761, 363, 622, 457, 112?

Answer: LCM of 761, 363, 622, 457, 112 is 4397297952432.

2. How to calculate the LCM of 761, 363, 622, 457, 112?

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 761, 363, 622, 457, 112.

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}.