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LCM of 254, 582, 667, 667

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


Find the LCM of 254, 582, 667, 667 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 254, 582, 667, 667. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 254,582,667,667

Given numbers are 254,582,667,667

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

The LCM of 254,582,667,667 is 49300638.

Find LCM of 254,582,667,667 with Prime Factorization


2 254, 582, 667, 667
23 127, 291, 667, 667
29 127, 291, 29, 29
127, 291, 1, 1

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

2 x 23 x 29 x 127 x 291 x 1 x 1 = 49300638

Therefore, the lowest common multiple of 254,582,667,667 is 49300638.

LCM Formula to Find Lowest Common Multiple of 254,582,667,667

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.

254 x 582 x 667 x 667 = 65767051092

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.

254 : 1, 2, 127, 254

582 : 1, 2, 3, 6, 97, 194, 291, 582

667 : 1, 23, 29, 667

667 : 1, 23, 29, 667

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 254,582,667,667, is 1.

Now, the common factors can be found like this.

254:2x 127

582:2x 3x 97

667:23x 29

667:23x 29

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

2x 23x 29 = 1334

Therefore, the value for common factors is 1334.

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 = 65767051092/(1x1334)

LCM = 65767051092/1334

LCM = 49300638

Thus, we can understand that the LCM of 254,582,667,667 is 49300638.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 254, 582, 667, 667

1. What is the LCM of 254, 582, 667, 667?

Answer: LCM of 254, 582, 667, 667 is 49300638.

2. How to calculate the LCM of 254, 582, 667, 667?

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 254, 582, 667, 667.

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}.