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LCM of 807, 549, 927, 479

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


Find the LCM of 807, 549, 927, 479 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 807, 549, 927, 479. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 807,549,927,479

Given numbers are 807,549,927,479

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

The LCM of 807,549,927,479 is 7286137497.

Find LCM of 807,549,927,479 with Prime Factorization


3 807, 549, 927, 479
3 269, 183, 309, 479
269, 61, 103, 479

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

3 x 3 x 269 x 61 x 103 x 479 = 7286137497

Therefore, the lowest common multiple of 807,549,927,479 is 7286137497.

LCM Formula to Find Lowest Common Multiple of 807,549,927,479

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.

807 x 549 x 927 x 479 = 196725712419

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.

807 : 1, 3, 269, 807

549 : 1, 3, 9, 61, 183, 549

927 : 1, 3, 9, 103, 309, 927

479 : 1, 479

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,549,927,479, is 1.

Now, the common factors can be found like this.

807:3x 269

549:3x 3x 61

927:3x 3x 103

479:479

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 196725712419/(1x27)

LCM = 196725712419/27

LCM = 7286137497

Thus, we can understand that the LCM of 807,549,927,479 is 7286137497.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 807, 549, 927, 479

1. What is the LCM of 807, 549, 927, 479?

Answer: LCM of 807, 549, 927, 479 is 7286137497.

2. How to calculate the LCM of 807, 549, 927, 479?

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 807, 549, 927, 479.

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}.