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LCM of 479, 782, 900, 532, 854

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


Find the LCM of 479, 782, 900, 532, 854 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 479, 782, 900, 532, 854. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 479,782,900,532,854

Given numbers are 479,782,900,532,854

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

The LCM of 479,782,900,532,854 is 1367528091300.

Find LCM of 479,782,900,532,854 with Prime Factorization


2 479, 782, 900, 532, 854
2 479, 391, 450, 266, 427
7 479, 391, 225, 133, 427
479, 391, 225, 19, 61

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

2 x 2 x 7 x 479 x 391 x 225 x 19 x 61 = 1367528091300

Therefore, the lowest common multiple of 479,782,900,532,854 is 1367528091300.

LCM Formula to Find Lowest Common Multiple of 479,782,900,532,854

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.

479 x 782 x 900 x 532 x 854 = 153163146225600

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.

479 : 1, 479

782 : 1, 2, 17, 23, 34, 46, 391, 782

900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

532 : 1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

854 : 1, 2, 7, 14, 61, 122, 427, 854

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,782,900,532,854, is 1.

Now, the common factors can be found like this.

479:479

782:2x 17x 23

900:2x 2x 3x 3x 5x 5

532:2x 2x 7x 19

854:2x 7x 61

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 2x 2x 7 = 112

Therefore, the value for common factors is 112.

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 = 153163146225600/(1x112)

LCM = 153163146225600/112

LCM = 1367528091300

Thus, we can understand that the LCM of 479,782,900,532,854 is 1367528091300.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 479, 782, 900, 532, 854

1. What is the LCM of 479, 782, 900, 532, 854?

Answer: LCM of 479, 782, 900, 532, 854 is 1367528091300.

2. How to calculate the LCM of 479, 782, 900, 532, 854?

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 479, 782, 900, 532, 854.

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}.