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LCM of 751, 588, 238, 104, 322

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


Find the LCM of 751, 588, 238, 104, 322 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 751, 588, 238, 104, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,588,238,104,322

Given numbers are 751,588,238,104,322

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

The LCM of 751,588,238,104,322 is 4489183608.

Find LCM of 751,588,238,104,322 with Prime Factorization


2 751, 588, 238, 104, 322
2 751, 294, 119, 52, 161
7 751, 147, 119, 26, 161
751, 21, 17, 26, 23

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

2 x 2 x 7 x 751 x 21 x 17 x 26 x 23 = 4489183608

Therefore, the lowest common multiple of 751,588,238,104,322 is 4489183608.

LCM Formula to Find Lowest Common Multiple of 751,588,238,104,322

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.

751 x 588 x 238 x 104 x 322 = 3519519948672

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.

751 : 1, 751

588 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

238 : 1, 2, 7, 14, 17, 34, 119, 238

104 : 1, 2, 4, 8, 13, 26, 52, 104

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,588,238,104,322, is 1.

Now, the common factors can be found like this.

751:751

588:2x 2x 3x 7x 7

238:2x 7x 17

104:2x 2x 2x 13

322:2x 7x 23

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 3519519948672/(1x784)

LCM = 3519519948672/784

LCM = 4489183608

Thus, we can understand that the LCM of 751,588,238,104,322 is 4489183608.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 588, 238, 104, 322

1. What is the LCM of 751, 588, 238, 104, 322?

Answer: LCM of 751, 588, 238, 104, 322 is 4489183608.

2. How to calculate the LCM of 751, 588, 238, 104, 322?

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 751, 588, 238, 104, 322.

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}.