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LCM of 598, 138, 692, 497

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


Find the LCM of 598, 138, 692, 497 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, 138, 692, 497. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,138,692,497

Given numbers are 598,138,692,497

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

The LCM of 598,138,692,497 is 308499828.

Find LCM of 598,138,692,497 with Prime Factorization


2 598, 138, 692, 497
23 299, 69, 346, 497
13, 3, 346, 497

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

2 x 23 x 13 x 3 x 346 x 497 = 308499828

Therefore, the lowest common multiple of 598,138,692,497 is 308499828.

LCM Formula to Find Lowest Common Multiple of 598,138,692,497

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 138 x 692 x 497 = 28381984176

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

138 : 1, 2, 3, 6, 23, 46, 69, 138

692 : 1, 2, 4, 173, 346, 692

497 : 1, 7, 71, 497

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,138,692,497, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

138:2x 3x 23

692:2x 2x 173

497:7x 71

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 23 = 92

Therefore, the value for common factors is 92.

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 = 28381984176/(1x92)

LCM = 28381984176/92

LCM = 308499828

Thus, we can understand that the LCM of 598,138,692,497 is 308499828.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 138, 692, 497

1. What is the LCM of 598, 138, 692, 497?

Answer: LCM of 598, 138, 692, 497 is 308499828.

2. How to calculate the LCM of 598, 138, 692, 497?

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, 138, 692, 497.

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}.