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LCM of 764, 276, 450, 736

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


Find the LCM of 764, 276, 450, 736 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 764, 276, 450, 736. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 764,276,450,736

Given numbers are 764,276,450,736

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

The LCM of 764,276,450,736 is 31629600.

Find LCM of 764,276,450,736 with Prime Factorization


2 764, 276, 450, 736
2 382, 138, 225, 368
3 191, 69, 225, 184
23 191, 23, 75, 184
191, 1, 75, 8

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

2 x 2 x 3 x 23 x 191 x 1 x 75 x 8 = 31629600

Therefore, the lowest common multiple of 764,276,450,736 is 31629600.

LCM Formula to Find Lowest Common Multiple of 764,276,450,736

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.

764 x 276 x 450 x 736 = 69838156800

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.

764 : 1, 2, 4, 191, 382, 764

276 : 1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,276,450,736, is 2.

Now, the common factors can be found like this.

764:2x 2x 191

276:2x 2x 3x 23

450:2x 3x 3x 5x 5

736:2x 2x 2x 2x 2x 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 3x 23 = 1104

Therefore, the value for common factors is 1104.

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 = 69838156800/(2x1104)

LCM = 69838156800/2208

LCM = 31629600

Thus, we can understand that the LCM of 764,276,450,736 is 31629600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 764, 276, 450, 736

1. What is the LCM of 764, 276, 450, 736?

Answer: LCM of 764, 276, 450, 736 is 31629600.

2. How to calculate the LCM of 764, 276, 450, 736?

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 764, 276, 450, 736.

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}.