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LCM of 154, 231, 497, 487, 946

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


Find the LCM of 154, 231, 497, 487, 946 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 154, 231, 497, 487, 946. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 154,231,497,487,946

Given numbers are 154,231,497,487,946

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

The LCM of 154,231,497,487,946 is 686906682.

Find LCM of 154,231,497,487,946 with Prime Factorization


2 154, 231, 497, 487, 946
7 77, 231, 497, 487, 473
11 11, 33, 71, 487, 473
1, 3, 71, 487, 43

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

2 x 7 x 11 x 1 x 3 x 71 x 487 x 43 = 686906682

Therefore, the lowest common multiple of 154,231,497,487,946 is 686906682.

LCM Formula to Find Lowest Common Multiple of 154,231,497,487,946

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.

154 x 231 x 497 x 487 x 946 = 8145339435156

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.

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

231 : 1, 3, 7, 11, 21, 33, 77, 231

497 : 1, 7, 71, 497

487 : 1, 487

946 : 1, 2, 11, 22, 43, 86, 473, 946

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 154,231,497,487,946, is 1.

Now, the common factors can be found like this.

154:2x 7x 11

231:3x 7x 11

497:7x 71

487:487

946:2x 11x 43

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

2x 7x 7x 11x 11 = 11858

Therefore, the value for common factors is 11858.

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 = 8145339435156/(1x11858)

LCM = 8145339435156/11858

LCM = 686906682

Thus, we can understand that the LCM of 154,231,497,487,946 is 686906682.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 154, 231, 497, 487, 946

1. What is the LCM of 154, 231, 497, 487, 946?

Answer: LCM of 154, 231, 497, 487, 946 is 686906682.

2. How to calculate the LCM of 154, 231, 497, 487, 946?

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 154, 231, 497, 487, 946.

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}.