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LCM of 524, 802, 433, 753

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


Find the LCM of 524, 802, 433, 753 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 524, 802, 433, 753. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,802,433,753

Given numbers are 524,802,433,753

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

The LCM of 524,802,433,753 is 68510720076.

Find LCM of 524,802,433,753 with Prime Factorization


2 524, 802, 433, 753
262, 401, 433, 753

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

2 x 262 x 401 x 433 x 753 = 68510720076

Therefore, the lowest common multiple of 524,802,433,753 is 68510720076.

LCM Formula to Find Lowest Common Multiple of 524,802,433,753

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.

524 x 802 x 433 x 753 = 137021440152

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.

524 : 1, 2, 4, 131, 262, 524

802 : 1, 2, 401, 802

433 : 1, 433

753 : 1, 3, 251, 753

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,802,433,753, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

802:2x 401

433:433

753:3x 251

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 = 137021440152/(1x2)

LCM = 137021440152/2

LCM = 68510720076

Thus, we can understand that the LCM of 524,802,433,753 is 68510720076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 802, 433, 753

1. What is the LCM of 524, 802, 433, 753?

Answer: LCM of 524, 802, 433, 753 is 68510720076.

2. How to calculate the LCM of 524, 802, 433, 753?

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 524, 802, 433, 753.

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}.