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LCM of 280, 601, 601, 426

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


Find the LCM of 280, 601, 601, 426 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 280, 601, 601, 426. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 280,601,601,426

Given numbers are 280,601,601,426

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

The LCM of 280,601,601,426 is 35843640.

Find LCM of 280,601,601,426 with Prime Factorization


2 280, 601, 601, 426
601 140, 601, 601, 213
140, 1, 1, 213

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

2 x 601 x 140 x 1 x 1 x 213 = 35843640

Therefore, the lowest common multiple of 280,601,601,426 is 35843640.

LCM Formula to Find Lowest Common Multiple of 280,601,601,426

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.

280 x 601 x 601 x 426 = 43084055280

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.

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

601 : 1, 601

601 : 1, 601

426 : 1, 2, 3, 6, 71, 142, 213, 426

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,601,601,426, is 1.

Now, the common factors can be found like this.

280:2x 2x 2x 5x 7

601:601

601:601

426:2x 3x 71

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

2x 601 = 1202

Therefore, the value for common factors is 1202.

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 = 43084055280/(1x1202)

LCM = 43084055280/1202

LCM = 35843640

Thus, we can understand that the LCM of 280,601,601,426 is 35843640.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 280, 601, 601, 426

1. What is the LCM of 280, 601, 601, 426?

Answer: LCM of 280, 601, 601, 426 is 35843640.

2. How to calculate the LCM of 280, 601, 601, 426?

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 280, 601, 601, 426.

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}.