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LCM of 598, 985, 583, 374

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


Find the LCM of 598, 985, 583, 374 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, 985, 583, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,985,583,374

Given numbers are 598,985,583,374

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

The LCM of 598,985,583,374 is 5837876330.

Find LCM of 598,985,583,374 with Prime Factorization


2 598, 985, 583, 374
11 299, 985, 583, 187
299, 985, 53, 17

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

2 x 11 x 299 x 985 x 53 x 17 = 5837876330

Therefore, the lowest common multiple of 598,985,583,374 is 5837876330.

LCM Formula to Find Lowest Common Multiple of 598,985,583,374

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 985 x 583 x 374 = 128433279260

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

985 : 1, 5, 197, 985

583 : 1, 11, 53, 583

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,985,583,374, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

985:5x 197

583:11x 53

374:2x 11x 17

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 128433279260/(1x22)

LCM = 128433279260/22

LCM = 5837876330

Thus, we can understand that the LCM of 598,985,583,374 is 5837876330.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 985, 583, 374

1. What is the LCM of 598, 985, 583, 374?

Answer: LCM of 598, 985, 583, 374 is 5837876330.

2. How to calculate the LCM of 598, 985, 583, 374?

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, 985, 583, 374.

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}.