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LCM of 560, 168, 398, 301

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


Find the LCM of 560, 168, 398, 301 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 560, 168, 398, 301. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 560,168,398,301

Given numbers are 560,168,398,301

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

The LCM of 560,168,398,301 is 14375760.

Find LCM of 560,168,398,301 with Prime Factorization


2 560, 168, 398, 301
2 280, 84, 199, 301
2 140, 42, 199, 301
7 70, 21, 199, 301
10, 3, 199, 43

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

2 x 2 x 2 x 7 x 10 x 3 x 199 x 43 = 14375760

Therefore, the lowest common multiple of 560,168,398,301 is 14375760.

LCM Formula to Find Lowest Common Multiple of 560,168,398,301

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.

560 x 168 x 398 x 301 = 11270595840

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.

560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

398 : 1, 2, 199, 398

301 : 1, 7, 43, 301

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 560,168,398,301, is 1.

Now, the common factors can be found like this.

560:2x 2x 2x 2x 5x 7

168:2x 2x 2x 3x 7

398:2x 199

301:7x 43

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 7x 7 = 784

Therefore, the value for common factors is 784.

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 = 11270595840/(1x784)

LCM = 11270595840/784

LCM = 14375760

Thus, we can understand that the LCM of 560,168,398,301 is 14375760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 560, 168, 398, 301

1. What is the LCM of 560, 168, 398, 301?

Answer: LCM of 560, 168, 398, 301 is 14375760.

2. How to calculate the LCM of 560, 168, 398, 301?

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 560, 168, 398, 301.

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}.