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LCM of 307, 586, 584, 429, 425

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


Find the LCM of 307, 586, 584, 429, 425 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 307, 586, 584, 429, 425. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 307,586,584,429,425

Given numbers are 307,586,584,429,425

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

The LCM of 307,586,584,429,425 is 9577784587800.

Find LCM of 307,586,584,429,425 with Prime Factorization


2 307, 586, 584, 429, 425
307, 293, 292, 429, 425

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

2 x 307 x 293 x 292 x 429 x 425 = 9577784587800

Therefore, the lowest common multiple of 307,586,584,429,425 is 9577784587800.

LCM Formula to Find Lowest Common Multiple of 307,586,584,429,425

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.

307 x 586 x 584 x 429 x 425 = 19155569175600

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.

307 : 1, 307

586 : 1, 2, 293, 586

584 : 1, 2, 4, 8, 73, 146, 292, 584

429 : 1, 3, 11, 13, 33, 39, 143, 429

425 : 1, 5, 17, 25, 85, 425

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 307,586,584,429,425, is 1.

Now, the common factors can be found like this.

307:307

586:2x 293

584:2x 2x 2x 73

429:3x 11x 13

425:5x 5x 17

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

2 = 2

Therefore, the value for common factors is 2.

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 = 19155569175600/(1x2)

LCM = 19155569175600/2

LCM = 9577784587800

Thus, we can understand that the LCM of 307,586,584,429,425 is 9577784587800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 307, 586, 584, 429, 425

1. What is the LCM of 307, 586, 584, 429, 425?

Answer: LCM of 307, 586, 584, 429, 425 is 9577784587800.

2. How to calculate the LCM of 307, 586, 584, 429, 425?

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 307, 586, 584, 429, 425.

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}.