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LCM of 235, 564, 926, 662

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


Find the LCM of 235, 564, 926, 662 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 235, 564, 926, 662. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 235,564,926,662

Given numbers are 235,564,926,662

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

The LCM of 235,564,926,662 is 432173460.

Find LCM of 235,564,926,662 with Prime Factorization


2 235, 564, 926, 662
47 235, 282, 463, 331
5, 6, 463, 331

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

2 x 47 x 5 x 6 x 463 x 331 = 432173460

Therefore, the lowest common multiple of 235,564,926,662 is 432173460.

LCM Formula to Find Lowest Common Multiple of 235,564,926,662

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.

235 x 564 x 926 x 662 = 81248610480

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.

235 : 1, 5, 47, 235

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

926 : 1, 2, 463, 926

662 : 1, 2, 331, 662

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,564,926,662, is 1.

Now, the common factors can be found like this.

235:5x 47

564:2x 2x 3x 47

926:2x 463

662:2x 331

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 47 = 188

Therefore, the value for common factors is 188.

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 = 81248610480/(1x188)

LCM = 81248610480/188

LCM = 432173460

Thus, we can understand that the LCM of 235,564,926,662 is 432173460.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 235, 564, 926, 662

1. What is the LCM of 235, 564, 926, 662?

Answer: LCM of 235, 564, 926, 662 is 432173460.

2. How to calculate the LCM of 235, 564, 926, 662?

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 235, 564, 926, 662.

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}.