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LCM of 598, 582, 722, 618

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


Find the LCM of 598, 582, 722, 618 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 598, 582, 722, 618. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,582,722,618

Given numbers are 598,582,722,618

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

The LCM of 598,582,722,618 is 6470511294.

Find LCM of 598,582,722,618 with Prime Factorization


2 598, 582, 722, 618
3 299, 291, 361, 309
299, 97, 361, 103

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

2 x 3 x 299 x 97 x 361 x 103 = 6470511294

Therefore, the lowest common multiple of 598,582,722,618 is 6470511294.

LCM Formula to Find Lowest Common Multiple of 598,582,722,618

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.

598 x 582 x 722 x 618 = 155292271056

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

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

722 : 1, 2, 19, 38, 361, 722

618 : 1, 2, 3, 6, 103, 206, 309, 618

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,582,722,618, is 2.

Now, the common factors can be found like this.

598:2x 13x 23

582:2x 3x 97

722:2x 19x 19

618:2x 3x 103

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

2x 2x 3 = 12

Therefore, the value for common factors is 12.

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 = 155292271056/(2x12)

LCM = 155292271056/24

LCM = 6470511294

Thus, we can understand that the LCM of 598,582,722,618 is 6470511294.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 582, 722, 618

1. What is the LCM of 598, 582, 722, 618?

Answer: LCM of 598, 582, 722, 618 is 6470511294.

2. How to calculate the LCM of 598, 582, 722, 618?

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 598, 582, 722, 618.

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}.