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LCM of 134, 407, 672, 497, 450

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


Find the LCM of 134, 407, 672, 497, 450 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 134, 407, 672, 497, 450. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 134,407,672,497,450

Given numbers are 134,407,672,497,450

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

The LCM of 134,407,672,497,450 is 97579389600.

Find LCM of 134,407,672,497,450 with Prime Factorization


2 134, 407, 672, 497, 450
3 67, 407, 336, 497, 225
7 67, 407, 112, 497, 75
67, 407, 16, 71, 75

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

2 x 3 x 7 x 67 x 407 x 16 x 71 x 75 = 97579389600

Therefore, the lowest common multiple of 134,407,672,497,450 is 97579389600.

LCM Formula to Find Lowest Common Multiple of 134,407,672,497,450

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.

134 x 407 x 672 x 497 x 450 = 8196668726400

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.

134 : 1, 2, 67, 134

407 : 1, 11, 37, 407

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

497 : 1, 7, 71, 497

450 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 134,407,672,497,450, is 1.

Now, the common factors can be found like this.

134:2x 67

407:11x 37

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

497:7x 71

450:2x 3x 3x 5x 5

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 3x 7 = 84

Therefore, the value for common factors is 84.

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 = 8196668726400/(1x84)

LCM = 8196668726400/84

LCM = 97579389600

Thus, we can understand that the LCM of 134,407,672,497,450 is 97579389600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 134, 407, 672, 497, 450

1. What is the LCM of 134, 407, 672, 497, 450?

Answer: LCM of 134, 407, 672, 497, 450 is 97579389600.

2. How to calculate the LCM of 134, 407, 672, 497, 450?

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 134, 407, 672, 497, 450.

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}.