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LCM of 154, 613, 565, 584

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


Find the LCM of 154, 613, 565, 584 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 154, 613, 565, 584. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,613,565,584

Given numbers are 154,613,565,584

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

The LCM of 154,613,565,584 is 15574441960.

Find LCM of 154,613,565,584 with Prime Factorization


2 154, 613, 565, 584
77, 613, 565, 292

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

2 x 77 x 613 x 565 x 292 = 15574441960

Therefore, the lowest common multiple of 154,613,565,584 is 15574441960.

LCM Formula to Find Lowest Common Multiple of 154,613,565,584

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.

154 x 613 x 565 x 584 = 31148883920

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.

154 : 1, 2, 7, 11, 14, 22, 77, 154

613 : 1, 613

565 : 1, 5, 113, 565

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,613,565,584, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

613:613

565:5x 113

584:2x 2x 2x 73

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 = 31148883920/(1x2)

LCM = 31148883920/2

LCM = 15574441960

Thus, we can understand that the LCM of 154,613,565,584 is 15574441960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 613, 565, 584

1. What is the LCM of 154, 613, 565, 584?

Answer: LCM of 154, 613, 565, 584 is 15574441960.

2. How to calculate the LCM of 154, 613, 565, 584?

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 154, 613, 565, 584.

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}.