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LCM of 185, 506, 624, 479

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


Find the LCM of 185, 506, 624, 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 185, 506, 624, 479. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 185,506,624,479

Given numbers are 185,506,624,479

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

The LCM of 185,506,624,479 is 13989827280.

Find LCM of 185,506,624,479 with Prime Factorization


2 185, 506, 624, 479
185, 253, 312, 479

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

2 x 185 x 253 x 312 x 479 = 13989827280

Therefore, the lowest common multiple of 185,506,624,479 is 13989827280.

LCM Formula to Find Lowest Common Multiple of 185,506,624,479

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.

185 x 506 x 624 x 479 = 27979654560

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.

185 : 1, 5, 37, 185

506 : 1, 2, 11, 22, 23, 46, 253, 506

624 : 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

479 : 1, 479

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 185,506,624,479, is 1.

Now, the common factors can be found like this.

185:5x 37

506:2x 11x 23

624:2x 2x 2x 2x 3x 13

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.

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 = 27979654560/(1x2)

LCM = 27979654560/2

LCM = 13989827280

Thus, we can understand that the LCM of 185,506,624,479 is 13989827280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 185, 506, 624, 479

1. What is the LCM of 185, 506, 624, 479?

Answer: LCM of 185, 506, 624, 479 is 13989827280.

2. How to calculate the LCM of 185, 506, 624, 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 185, 506, 624, 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}.