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LCM of 907, 154, 485, 194

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


Find the LCM of 907, 154, 485, 194 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 907, 154, 485, 194. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 907,154,485,194

Given numbers are 907,154,485,194

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

The LCM of 907,154,485,194 is 67743830.

Find LCM of 907,154,485,194 with Prime Factorization


2 907, 154, 485, 194
97 907, 77, 485, 97
907, 77, 5, 1

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

2 x 97 x 907 x 77 x 5 x 1 = 67743830

Therefore, the lowest common multiple of 907,154,485,194 is 67743830.

LCM Formula to Find Lowest Common Multiple of 907,154,485,194

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.

907 x 154 x 485 x 194 = 13142303020

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.

907 : 1, 907

154 : 1, 2, 7, 11, 14, 22, 77, 154

485 : 1, 5, 97, 485

194 : 1, 2, 97, 194

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 907,154,485,194, is 1.

Now, the common factors can be found like this.

907:907

154:2x 7x 11

485:5x 97

194:2x 97

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

2x 97 = 194

Therefore, the value for common factors is 194.

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 = 13142303020/(1x194)

LCM = 13142303020/194

LCM = 67743830

Thus, we can understand that the LCM of 907,154,485,194 is 67743830.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 907, 154, 485, 194

1. What is the LCM of 907, 154, 485, 194?

Answer: LCM of 907, 154, 485, 194 is 67743830.

2. How to calculate the LCM of 907, 154, 485, 194?

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 907, 154, 485, 194.

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}.