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LCM of 224, 601, 886, 535

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


Find the LCM of 224, 601, 886, 535 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 224, 601, 886, 535. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 224,601,886,535

Given numbers are 224,601,886,535

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

The LCM of 224,601,886,535 is 31906561120.

Find LCM of 224,601,886,535 with Prime Factorization


2 224, 601, 886, 535
112, 601, 443, 535

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

2 x 112 x 601 x 443 x 535 = 31906561120

Therefore, the lowest common multiple of 224,601,886,535 is 31906561120.

LCM Formula to Find Lowest Common Multiple of 224,601,886,535

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.

224 x 601 x 886 x 535 = 63813122240

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.

224 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

601 : 1, 601

886 : 1, 2, 443, 886

535 : 1, 5, 107, 535

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 224,601,886,535, is 1.

Now, the common factors can be found like this.

224:2x 2x 2x 2x 2x 7

601:601

886:2x 443

535:5x 107

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

2 = 2

Therefore, the value for common factors is 2.

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 = 63813122240/(1x2)

LCM = 63813122240/2

LCM = 31906561120

Thus, we can understand that the LCM of 224,601,886,535 is 31906561120.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 224, 601, 886, 535

1. What is the LCM of 224, 601, 886, 535?

Answer: LCM of 224, 601, 886, 535 is 31906561120.

2. How to calculate the LCM of 224, 601, 886, 535?

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 224, 601, 886, 535.

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}.