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LCM of 265, 387, 731, 632

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


Find the LCM of 265, 387, 731, 632 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 265, 387, 731, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 265,387,731,632

Given numbers are 265,387,731,632

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

The LCM of 265,387,731,632 is 1101850920.

Find LCM of 265,387,731,632 with Prime Factorization


43 265, 387, 731, 632
265, 9, 17, 632

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

43 x 265 x 9 x 17 x 632 = 1101850920

Therefore, the lowest common multiple of 265,387,731,632 is 1101850920.

LCM Formula to Find Lowest Common Multiple of 265,387,731,632

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.

265 x 387 x 731 x 632 = 47379589560

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.

265 : 1, 5, 53, 265

387 : 1, 3, 9, 43, 129, 387

731 : 1, 17, 43, 731

632 : 1, 2, 4, 8, 79, 158, 316, 632

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 265,387,731,632, is 1.

Now, the common factors can be found like this.

265:5x 53

387:3x 3x 43

731:17x 43

632:2x 2x 2x 79

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

43 = 43

Therefore, the value for common factors is 43.

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 = 47379589560/(1x43)

LCM = 47379589560/43

LCM = 1101850920

Thus, we can understand that the LCM of 265,387,731,632 is 1101850920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 265, 387, 731, 632

1. What is the LCM of 265, 387, 731, 632?

Answer: LCM of 265, 387, 731, 632 is 1101850920.

2. How to calculate the LCM of 265, 387, 731, 632?

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 265, 387, 731, 632.

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}.