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LCM of 319, 551, 452, 261

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


Find the LCM of 319, 551, 452, 261 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, 551, 452, 261. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 319,551,452,261

Given numbers are 319,551,452,261

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

The LCM of 319,551,452,261 is 24656148.

Find LCM of 319,551,452,261 with Prime Factorization


29 319, 551, 452, 261
11, 19, 452, 9

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

29 x 11 x 19 x 452 x 9 = 24656148

Therefore, the lowest common multiple of 319,551,452,261 is 24656148.

LCM Formula to Find Lowest Common Multiple of 319,551,452,261

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 551 x 452 x 261 = 20735820468

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

551 : 1, 19, 29, 551

452 : 1, 2, 4, 113, 226, 452

261 : 1, 3, 9, 29, 87, 261

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,551,452,261, is 1.

Now, the common factors can be found like this.

319:11x 29

551:19x 29

452:2x 2x 113

261:3x 3x 29

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

29x 29 = 841

Therefore, the value for common factors is 841.

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 = 20735820468/(1x841)

LCM = 20735820468/841

LCM = 24656148

Thus, we can understand that the LCM of 319,551,452,261 is 24656148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 319, 551, 452, 261

1. What is the LCM of 319, 551, 452, 261?

Answer: LCM of 319, 551, 452, 261 is 24656148.

2. How to calculate the LCM of 319, 551, 452, 261?

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, 551, 452, 261.

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}.