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LCM of 407, 364, 350, 280

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


Find the LCM of 407, 364, 350, 280 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, 364, 350, 280. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 407,364,350,280

Given numbers are 407,364,350,280

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

The LCM of 407,364,350,280 is 7407400.

Find LCM of 407,364,350,280 with Prime Factorization


2 407, 364, 350, 280
2 407, 182, 175, 140
5 407, 91, 175, 70
7 407, 91, 35, 14
407, 13, 5, 2

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

2 x 2 x 5 x 7 x 407 x 13 x 5 x 2 = 7407400

Therefore, the lowest common multiple of 407,364,350,280 is 7407400.

LCM Formula to Find Lowest Common Multiple of 407,364,350,280

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 364 x 350 x 280 = 14518504000

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

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

350 : 1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 407,364,350,280, is 1.

Now, the common factors can be found like this.

407:11x 37

364:2x 2x 7x 13

350:2x 5x 5x 7

280:2x 2x 2x 5x 7

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 5x 7x 7 = 1960

Therefore, the value for common factors is 1960.

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 = 14518504000/(1x1960)

LCM = 14518504000/1960

LCM = 7407400

Thus, we can understand that the LCM of 407,364,350,280 is 7407400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 407, 364, 350, 280

1. What is the LCM of 407, 364, 350, 280?

Answer: LCM of 407, 364, 350, 280 is 7407400.

2. How to calculate the LCM of 407, 364, 350, 280?

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, 364, 350, 280.

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}.