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LCM of 497, 598, 418, 145

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


Find the LCM of 497, 598, 418, 145 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 497, 598, 418, 145. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 497,598,418,145

Given numbers are 497,598,418,145

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

The LCM of 497,598,418,145 is 9006827830.

Find LCM of 497,598,418,145 with Prime Factorization


2 497, 598, 418, 145
497, 299, 209, 145

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

2 x 497 x 299 x 209 x 145 = 9006827830

Therefore, the lowest common multiple of 497,598,418,145 is 9006827830.

LCM Formula to Find Lowest Common Multiple of 497,598,418,145

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.

497 x 598 x 418 x 145 = 18013655660

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.

497 : 1, 7, 71, 497

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

418 : 1, 2, 11, 19, 22, 38, 209, 418

145 : 1, 5, 29, 145

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,598,418,145, is 1.

Now, the common factors can be found like this.

497:7x 71

598:2x 13x 23

418:2x 11x 19

145:5x 29

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 = 18013655660/(1x2)

LCM = 18013655660/2

LCM = 9006827830

Thus, we can understand that the LCM of 497,598,418,145 is 9006827830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 497, 598, 418, 145

1. What is the LCM of 497, 598, 418, 145?

Answer: LCM of 497, 598, 418, 145 is 9006827830.

2. How to calculate the LCM of 497, 598, 418, 145?

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 497, 598, 418, 145.

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}.