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LCM of 907, 253, 451, 440

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


Find the LCM of 907, 253, 451, 440 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 907, 253, 451, 440. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,253,451,440

Given numbers are 907,253,451,440

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

The LCM of 907,253,451,440 is 376332440.

Find LCM of 907,253,451,440 with Prime Factorization


11 907, 253, 451, 440
907, 23, 41, 40

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

11 x 907 x 23 x 41 x 40 = 376332440

Therefore, the lowest common multiple of 907,253,451,440 is 376332440.

LCM Formula to Find Lowest Common Multiple of 907,253,451,440

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.

907 x 253 x 451 x 440 = 45536225240

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.

907 : 1, 907

253 : 1, 11, 23, 253

451 : 1, 11, 41, 451

440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,253,451,440, is 1.

Now, the common factors can be found like this.

907:907

253:11x 23

451:11x 41

440:2x 2x 2x 5x 11

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 45536225240/(1x121)

LCM = 45536225240/121

LCM = 376332440

Thus, we can understand that the LCM of 907,253,451,440 is 376332440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 253, 451, 440

1. What is the LCM of 907, 253, 451, 440?

Answer: LCM of 907, 253, 451, 440 is 376332440.

2. How to calculate the LCM of 907, 253, 451, 440?

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 907, 253, 451, 440.

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}.