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LCM of 292, 135, 320, 322

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


Find the LCM of 292, 135, 320, 322 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 292, 135, 320, 322. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 292,135,320,322

Given numbers are 292,135,320,322

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

The LCM of 292,135,320,322 is 101545920.

Find LCM of 292,135,320,322 with Prime Factorization


2 292, 135, 320, 322
2 146, 135, 160, 161
5 73, 135, 80, 161
73, 27, 16, 161

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

2 x 2 x 5 x 73 x 27 x 16 x 161 = 101545920

Therefore, the lowest common multiple of 292,135,320,322 is 101545920.

LCM Formula to Find Lowest Common Multiple of 292,135,320,322

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.

292 x 135 x 320 x 322 = 4061836800

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.

292 : 1, 2, 4, 73, 146, 292

135 : 1, 3, 5, 9, 15, 27, 45, 135

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

322 : 1, 2, 7, 14, 23, 46, 161, 322

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 292,135,320,322, is 1.

Now, the common factors can be found like this.

292:2x 2x 73

135:3x 3x 3x 5

320:2x 2x 2x 2x 2x 2x 5

322:2x 7x 23

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

2x 2x 2x 5 = 40

Therefore, the value for common factors is 40.

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 = 4061836800/(1x40)

LCM = 4061836800/40

LCM = 101545920

Thus, we can understand that the LCM of 292,135,320,322 is 101545920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 292, 135, 320, 322

1. What is the LCM of 292, 135, 320, 322?

Answer: LCM of 292, 135, 320, 322 is 101545920.

2. How to calculate the LCM of 292, 135, 320, 322?

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 292, 135, 320, 322.

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}.