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LCM of 554, 598, 694, 134, 148

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


Find the LCM of 554, 598, 694, 134, 148 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 554, 598, 694, 134, 148. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 554,598,694,134,148

Given numbers are 554,598,694,134,148

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

The LCM of 554,598,694,134,148 is 284981685196.

Find LCM of 554,598,694,134,148 with Prime Factorization


2 554, 598, 694, 134, 148
277, 299, 347, 67, 74

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

2 x 277 x 299 x 347 x 67 x 74 = 284981685196

Therefore, the lowest common multiple of 554,598,694,134,148 is 284981685196.

LCM Formula to Find Lowest Common Multiple of 554,598,694,134,148

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.

554 x 598 x 694 x 134 x 148 = 4559706963136

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.

554 : 1, 2, 277, 554

598 : 1, 2, 13, 23, 26, 46, 299, 598

694 : 1, 2, 347, 694

134 : 1, 2, 67, 134

148 : 1, 2, 4, 37, 74, 148

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 554,598,694,134,148, is 2.

Now, the common factors can be found like this.

554:2x 277

598:2x 13x 23

694:2x 347

134:2x 67

148:2x 2x 37

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 2 = 8

Therefore, the value for common factors is 8.

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 = 4559706963136/(2x8)

LCM = 4559706963136/16

LCM = 284981685196

Thus, we can understand that the LCM of 554,598,694,134,148 is 284981685196.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 554, 598, 694, 134, 148

1. What is the LCM of 554, 598, 694, 134, 148?

Answer: LCM of 554, 598, 694, 134, 148 is 284981685196.

2. How to calculate the LCM of 554, 598, 694, 134, 148?

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 554, 598, 694, 134, 148.

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}.