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LCM of 672, 301, 224, 524

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


Find the LCM of 672, 301, 224, 524 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 672, 301, 224, 524. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 672,301,224,524

Given numbers are 672,301,224,524

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

The LCM of 672,301,224,524 is 3785376.

Find LCM of 672,301,224,524 with Prime Factorization


2 672, 301, 224, 524
2 336, 301, 112, 262
2 168, 301, 56, 131
2 84, 301, 28, 131
2 42, 301, 14, 131
7 21, 301, 7, 131
3, 43, 1, 131

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

2 x 2 x 2 x 2 x 2 x 7 x 3 x 43 x 1 x 131 = 3785376

Therefore, the lowest common multiple of 672,301,224,524 is 3785376.

LCM Formula to Find Lowest Common Multiple of 672,301,224,524

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.

672 x 301 x 224 x 524 = 23741878272

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.

672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672

301 : 1, 7, 43, 301

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

524 : 1, 2, 4, 131, 262, 524

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 672,301,224,524, is 1.

Now, the common factors can be found like this.

672:2x 2x 2x 2x 2x 3x 7

301:7x 43

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

524:2x 2x 131

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 2x 2x 2x 2x 7x 7 = 6272

Therefore, the value for common factors is 6272.

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 = 23741878272/(1x6272)

LCM = 23741878272/6272

LCM = 3785376

Thus, we can understand that the LCM of 672,301,224,524 is 3785376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 672, 301, 224, 524

1. What is the LCM of 672, 301, 224, 524?

Answer: LCM of 672, 301, 224, 524 is 3785376.

2. How to calculate the LCM of 672, 301, 224, 524?

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 672, 301, 224, 524.

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}.