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LCM of 751, 154, 493, 256, 438

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


Find the LCM of 751, 154, 493, 256, 438 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, 154, 493, 256, 438. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 751,154,493,256,438

Given numbers are 751,154,493,256,438

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

The LCM of 751,154,493,256,438 is 1598312373504.

Find LCM of 751,154,493,256,438 with Prime Factorization


2 751, 154, 493, 256, 438
751, 77, 493, 128, 219

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

2 x 751 x 77 x 493 x 128 x 219 = 1598312373504

Therefore, the lowest common multiple of 751,154,493,256,438 is 1598312373504.

LCM Formula to Find Lowest Common Multiple of 751,154,493,256,438

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 154 x 493 x 256 x 438 = 6393249494016

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

154 : 1, 2, 7, 11, 14, 22, 77, 154

493 : 1, 17, 29, 493

256 : 1, 2, 4, 8, 16, 32, 64, 128, 256

438 : 1, 2, 3, 6, 73, 146, 219, 438

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 751,154,493,256,438, is 1.

Now, the common factors can be found like this.

751:751

154:2x 7x 11

493:17x 29

256:2x 2x 2x 2x 2x 2x 2x 2

438:2x 3x 73

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 6393249494016/(1x4)

LCM = 6393249494016/4

LCM = 1598312373504

Thus, we can understand that the LCM of 751,154,493,256,438 is 1598312373504.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 751, 154, 493, 256, 438

1. What is the LCM of 751, 154, 493, 256, 438?

Answer: LCM of 751, 154, 493, 256, 438 is 1598312373504.

2. How to calculate the LCM of 751, 154, 493, 256, 438?

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, 154, 493, 256, 438.

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}.