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LCM of 922, 319, 520, 455

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


Find the LCM of 922, 319, 520, 455 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 922, 319, 520, 455. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 922,319,520,455

Given numbers are 922,319,520,455

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

The LCM of 922,319,520,455 is 535294760.

Find LCM of 922,319,520,455 with Prime Factorization


2 922, 319, 520, 455
5 461, 319, 260, 455
13 461, 319, 52, 91
461, 319, 4, 7

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

2 x 5 x 13 x 461 x 319 x 4 x 7 = 535294760

Therefore, the lowest common multiple of 922,319,520,455 is 535294760.

LCM Formula to Find Lowest Common Multiple of 922,319,520,455

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.

922 x 319 x 520 x 455 = 69588318800

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.

922 : 1, 2, 461, 922

319 : 1, 11, 29, 319

520 : 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

455 : 1, 5, 7, 13, 35, 65, 91, 455

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 922,319,520,455, is 1.

Now, the common factors can be found like this.

922:2x 461

319:11x 29

520:2x 2x 2x 5x 13

455:5x 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 5x 13 = 130

Therefore, the value for common factors is 130.

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 = 69588318800/(1x130)

LCM = 69588318800/130

LCM = 535294760

Thus, we can understand that the LCM of 922,319,520,455 is 535294760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 922, 319, 520, 455

1. What is the LCM of 922, 319, 520, 455?

Answer: LCM of 922, 319, 520, 455 is 535294760.

2. How to calculate the LCM of 922, 319, 520, 455?

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 922, 319, 520, 455.

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}.