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LCM of 597, 434, 655, 790

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


Find the LCM of 597, 434, 655, 790 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 597, 434, 655, 790. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 597,434,655,790

Given numbers are 597,434,655,790

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

The LCM of 597,434,655,790 is 13407026010.

Find LCM of 597,434,655,790 with Prime Factorization


2 597, 434, 655, 790
5 597, 217, 655, 395
597, 217, 131, 79

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

2 x 5 x 597 x 217 x 131 x 79 = 13407026010

Therefore, the lowest common multiple of 597,434,655,790 is 13407026010.

LCM Formula to Find Lowest Common Multiple of 597,434,655,790

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.

597 x 434 x 655 x 790 = 134070260100

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.

597 : 1, 3, 199, 597

434 : 1, 2, 7, 14, 31, 62, 217, 434

655 : 1, 5, 131, 655

790 : 1, 2, 5, 10, 79, 158, 395, 790

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,434,655,790, is 1.

Now, the common factors can be found like this.

597:3x 199

434:2x 7x 31

655:5x 131

790:2x 5x 79

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

2x 5 = 10

Therefore, the value for common factors is 10.

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 = 134070260100/(1x10)

LCM = 134070260100/10

LCM = 13407026010

Thus, we can understand that the LCM of 597,434,655,790 is 13407026010.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 597, 434, 655, 790

1. What is the LCM of 597, 434, 655, 790?

Answer: LCM of 597, 434, 655, 790 is 13407026010.

2. How to calculate the LCM of 597, 434, 655, 790?

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 597, 434, 655, 790.

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}.