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LCM of 535, 214, 974, 598

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


Find the LCM of 535, 214, 974, 598 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 535, 214, 974, 598. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 535,214,974,598

Given numbers are 535,214,974,598

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

The LCM of 535,214,974,598 is 155805910.

Find LCM of 535,214,974,598 with Prime Factorization


2 535, 214, 974, 598
107 535, 107, 487, 299
5, 1, 487, 299

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

2 x 107 x 5 x 1 x 487 x 299 = 155805910

Therefore, the lowest common multiple of 535,214,974,598 is 155805910.

LCM Formula to Find Lowest Common Multiple of 535,214,974,598

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.

535 x 214 x 974 x 598 = 66684929480

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.

535 : 1, 5, 107, 535

214 : 1, 2, 107, 214

974 : 1, 2, 487, 974

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 535,214,974,598, is 1.

Now, the common factors can be found like this.

535:5x 107

214:2x 107

974:2x 487

598:2x 13x 23

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 107 = 428

Therefore, the value for common factors is 428.

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 = 66684929480/(1x428)

LCM = 66684929480/428

LCM = 155805910

Thus, we can understand that the LCM of 535,214,974,598 is 155805910.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 535, 214, 974, 598

1. What is the LCM of 535, 214, 974, 598?

Answer: LCM of 535, 214, 974, 598 is 155805910.

2. How to calculate the LCM of 535, 214, 974, 598?

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 535, 214, 974, 598.

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}.