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LCM of 319, 693, 290, 953

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


Find the LCM of 319, 693, 290, 953 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 319, 693, 290, 953. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,693,290,953

Given numbers are 319,693,290,953

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

The LCM of 319,693,290,953 is 191524410.

Find LCM of 319,693,290,953 with Prime Factorization


11 319, 693, 290, 953
29 29, 63, 290, 953
1, 63, 10, 953

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

11 x 29 x 1 x 63 x 10 x 953 = 191524410

Therefore, the lowest common multiple of 319,693,290,953 is 191524410.

LCM Formula to Find Lowest Common Multiple of 319,693,290,953

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.

319 x 693 x 290 x 953 = 61096286790

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.

319 : 1, 11, 29, 319

693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

290 : 1, 2, 5, 10, 29, 58, 145, 290

953 : 1, 953

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,693,290,953, is 1.

Now, the common factors can be found like this.

319:11x 29

693:3x 3x 7x 11

290:2x 5x 29

953:953

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

11x 29 = 319

Therefore, the value for common factors is 319.

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 = 61096286790/(1x319)

LCM = 61096286790/319

LCM = 191524410

Thus, we can understand that the LCM of 319,693,290,953 is 191524410.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 693, 290, 953

1. What is the LCM of 319, 693, 290, 953?

Answer: LCM of 319, 693, 290, 953 is 191524410.

2. How to calculate the LCM of 319, 693, 290, 953?

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 319, 693, 290, 953.

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}.