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LCM of 251, 473, 715, 645

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


Find the LCM of 251, 473, 715, 645 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 251, 473, 715, 645. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 251,473,715,645

Given numbers are 251,473,715,645

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

The LCM of 251,473,715,645 is 23150985.

Find LCM of 251,473,715,645 with Prime Factorization


5 251, 473, 715, 645
11 251, 473, 143, 129
43 251, 43, 13, 129
251, 1, 13, 3

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

5 x 11 x 43 x 251 x 1 x 13 x 3 = 23150985

Therefore, the lowest common multiple of 251,473,715,645 is 23150985.

LCM Formula to Find Lowest Common Multiple of 251,473,715,645

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.

251 x 473 x 715 x 645 = 54752079525

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.

251 : 1, 251

473 : 1, 11, 43, 473

715 : 1, 5, 11, 13, 55, 65, 143, 715

645 : 1, 3, 5, 15, 43, 129, 215, 645

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 251,473,715,645, is 1.

Now, the common factors can be found like this.

251:251

473:11x 43

715:5x 11x 13

645:3x 5x 43

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

5x 11x 43 = 2365

Therefore, the value for common factors is 2365.

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 = 54752079525/(1x2365)

LCM = 54752079525/2365

LCM = 23150985

Thus, we can understand that the LCM of 251,473,715,645 is 23150985.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 251, 473, 715, 645

1. What is the LCM of 251, 473, 715, 645?

Answer: LCM of 251, 473, 715, 645 is 23150985.

2. How to calculate the LCM of 251, 473, 715, 645?

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 251, 473, 715, 645.

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}.