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LCM of 334, 167, 224, 724

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


Find the LCM of 334, 167, 224, 724 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 334, 167, 224, 724. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 334,167,224,724

Given numbers are 334,167,224,724

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

The LCM of 334,167,224,724 is 6770848.

Find LCM of 334,167,224,724 with Prime Factorization


2 334, 167, 224, 724
2 167, 167, 112, 362
167 167, 167, 56, 181
1, 1, 56, 181

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

2 x 2 x 167 x 1 x 1 x 56 x 181 = 6770848

Therefore, the lowest common multiple of 334,167,224,724 is 6770848.

LCM Formula to Find Lowest Common Multiple of 334,167,224,724

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.

334 x 167 x 224 x 724 = 9045852928

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.

334 : 1, 2, 167, 334

167 : 1, 167

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

724 : 1, 2, 4, 181, 362, 724

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 334,167,224,724, is 1.

Now, the common factors can be found like this.

334:2x 167

167:167

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

724:2x 2x 181

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 167 = 1336

Therefore, the value for common factors is 1336.

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 = 9045852928/(1x1336)

LCM = 9045852928/1336

LCM = 6770848

Thus, we can understand that the LCM of 334,167,224,724 is 6770848.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 334, 167, 224, 724

1. What is the LCM of 334, 167, 224, 724?

Answer: LCM of 334, 167, 224, 724 is 6770848.

2. How to calculate the LCM of 334, 167, 224, 724?

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 334, 167, 224, 724.

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}.