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LCM of 407, 300, 748, 422

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


Find the LCM of 407, 300, 748, 422 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 407, 300, 748, 422. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,300,748,422

Given numbers are 407,300,748,422

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

The LCM of 407,300,748,422 is 437972700.

Find LCM of 407,300,748,422 with Prime Factorization


2 407, 300, 748, 422
2 407, 150, 374, 211
11 407, 75, 187, 211
37, 75, 17, 211

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

2 x 2 x 11 x 37 x 75 x 17 x 211 = 437972700

Therefore, the lowest common multiple of 407,300,748,422 is 437972700.

LCM Formula to Find Lowest Common Multiple of 407,300,748,422

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.

407 x 300 x 748 x 422 = 38541597600

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.

407 : 1, 11, 37, 407

300 : 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

422 : 1, 2, 211, 422

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,300,748,422, is 1.

Now, the common factors can be found like this.

407:11x 37

300:2x 2x 3x 5x 5

748:2x 2x 11x 17

422:2x 211

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 11 = 88

Therefore, the value for common factors is 88.

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 = 38541597600/(1x88)

LCM = 38541597600/88

LCM = 437972700

Thus, we can understand that the LCM of 407,300,748,422 is 437972700.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 300, 748, 422

1. What is the LCM of 407, 300, 748, 422?

Answer: LCM of 407, 300, 748, 422 is 437972700.

2. How to calculate the LCM of 407, 300, 748, 422?

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 407, 300, 748, 422.

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}.