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LCM of 479, 831, 956, 816, 546

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


Find the LCM of 479, 831, 956, 816, 546 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, 831, 956, 816, 546. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 479,831,956,816,546

Given numbers are 479,831,956,816,546

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

The LCM of 479,831,956,816,546 is 2354749614672.

Find LCM of 479,831,956,816,546 with Prime Factorization


2 479, 831, 956, 816, 546
2 479, 831, 478, 408, 273
3 479, 831, 239, 204, 273
479, 277, 239, 68, 91

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

2 x 2 x 3 x 479 x 277 x 239 x 68 x 91 = 2354749614672

Therefore, the lowest common multiple of 479,831,956,816,546 is 2354749614672.

LCM Formula to Find Lowest Common Multiple of 479,831,956,816,546

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 831 x 956 x 816 x 546 = 169541972256384

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

831 : 1, 3, 277, 831

956 : 1, 2, 4, 239, 478, 956

816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 479,831,956,816,546, is 1.

Now, the common factors can be found like this.

479:479

831:3x 277

956:2x 2x 239

816:2x 2x 2x 2x 3x 17

546:2x 3x 7x 13

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 169541972256384/(1x72)

LCM = 169541972256384/72

LCM = 2354749614672

Thus, we can understand that the LCM of 479,831,956,816,546 is 2354749614672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 479, 831, 956, 816, 546

1. What is the LCM of 479, 831, 956, 816, 546?

Answer: LCM of 479, 831, 956, 816, 546 is 2354749614672.

2. How to calculate the LCM of 479, 831, 956, 816, 546?

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, 831, 956, 816, 546.

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}.