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LCM of 484, 807, 539, 269

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


Find the LCM of 484, 807, 539, 269 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 484, 807, 539, 269. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 484,807,539,269

Given numbers are 484,807,539,269

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

The LCM of 484,807,539,269 is 19138812.

Find LCM of 484,807,539,269 with Prime Factorization


11 484, 807, 539, 269
269 44, 807, 49, 269
44, 3, 49, 1

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

11 x 269 x 44 x 3 x 49 x 1 = 19138812

Therefore, the lowest common multiple of 484,807,539,269 is 19138812.

LCM Formula to Find Lowest Common Multiple of 484,807,539,269

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.

484 x 807 x 539 x 269 = 56631744708

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.

484 : 1, 2, 4, 11, 22, 44, 121, 242, 484

807 : 1, 3, 269, 807

539 : 1, 7, 11, 49, 77, 539

269 : 1, 269

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 484,807,539,269, is 1.

Now, the common factors can be found like this.

484:2x 2x 11x 11

807:3x 269

539:7x 7x 11

269:269

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

11x 269 = 2959

Therefore, the value for common factors is 2959.

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 = 56631744708/(1x2959)

LCM = 56631744708/2959

LCM = 19138812

Thus, we can understand that the LCM of 484,807,539,269 is 19138812.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 484, 807, 539, 269

1. What is the LCM of 484, 807, 539, 269?

Answer: LCM of 484, 807, 539, 269 is 19138812.

2. How to calculate the LCM of 484, 807, 539, 269?

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 484, 807, 539, 269.

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}.