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LCM of 193, 697, 479, 385, 924

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


Find the LCM of 193, 697, 479, 385, 924 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 193, 697, 479, 385, 924. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 193,697,479,385,924

Given numbers are 193,697,479,385,924

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

The LCM of 193,697,479,385,924 is 297692282580.

Find LCM of 193,697,479,385,924 with Prime Factorization


7 193, 697, 479, 385, 924
11 193, 697, 479, 55, 132
193, 697, 479, 5, 12

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

7 x 11 x 193 x 697 x 479 x 5 x 12 = 297692282580

Therefore, the lowest common multiple of 193,697,479,385,924 is 297692282580.

LCM Formula to Find Lowest Common Multiple of 193,697,479,385,924

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.

193 x 697 x 479 x 385 x 924 = 22922305758660

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.

193 : 1, 193

697 : 1, 17, 41, 697

479 : 1, 479

385 : 1, 5, 7, 11, 35, 55, 77, 385

924 : 1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 193,697,479,385,924, is 1.

Now, the common factors can be found like this.

193:193

697:17x 41

479:479

385:5x 7x 11

924:2x 2x 3x 7x 11

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

7x 11 = 77

Therefore, the value for common factors is 77.

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 = 22922305758660/(1x77)

LCM = 22922305758660/77

LCM = 297692282580

Thus, we can understand that the LCM of 193,697,479,385,924 is 297692282580.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 193, 697, 479, 385, 924

1. What is the LCM of 193, 697, 479, 385, 924?

Answer: LCM of 193, 697, 479, 385, 924 is 297692282580.

2. How to calculate the LCM of 193, 697, 479, 385, 924?

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 193, 697, 479, 385, 924.

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}.