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LCM of 533, 898, 679, 744

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


Find the LCM of 533, 898, 679, 744 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 533, 898, 679, 744. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 533,898,679,744

Given numbers are 533,898,679,744

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

The LCM of 533,898,679,744 is 120897204792.

Find LCM of 533,898,679,744 with Prime Factorization


2 533, 898, 679, 744
533, 449, 679, 372

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

2 x 533 x 449 x 679 x 372 = 120897204792

Therefore, the lowest common multiple of 533,898,679,744 is 120897204792.

LCM Formula to Find Lowest Common Multiple of 533,898,679,744

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.

533 x 898 x 679 x 744 = 241794409584

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.

533 : 1, 13, 41, 533

898 : 1, 2, 449, 898

679 : 1, 7, 97, 679

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 533,898,679,744, is 1.

Now, the common factors can be found like this.

533:13x 41

898:2x 449

679:7x 97

744:2x 2x 2x 3x 31

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 = 241794409584/(1x2)

LCM = 241794409584/2

LCM = 120897204792

Thus, we can understand that the LCM of 533,898,679,744 is 120897204792.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 533, 898, 679, 744

1. What is the LCM of 533, 898, 679, 744?

Answer: LCM of 533, 898, 679, 744 is 120897204792.

2. How to calculate the LCM of 533, 898, 679, 744?

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 533, 898, 679, 744.

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}.