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LCM of 479, 414, 713, 632

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


Find the LCM of 479, 414, 713, 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 479, 414, 713, 632. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 479,414,713,632

Given numbers are 479,414,713,632

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

The LCM of 479,414,713,632 is 1942605576.

Find LCM of 479,414,713,632 with Prime Factorization


2 479, 414, 713, 632
23 479, 207, 713, 316
479, 9, 31, 316

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

2 x 23 x 479 x 9 x 31 x 316 = 1942605576

Therefore, the lowest common multiple of 479,414,713,632 is 1942605576.

LCM Formula to Find Lowest Common Multiple of 479,414,713,632

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.

479 x 414 x 713 x 632 = 89359856496

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.

479 : 1, 479

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

713 : 1, 23, 31, 713

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 479,414,713,632, is 1.

Now, the common factors can be found like this.

479:479

414:2x 3x 3x 23

713:23x 31

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.

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 89359856496/(1x46)

LCM = 89359856496/46

LCM = 1942605576

Thus, we can understand that the LCM of 479,414,713,632 is 1942605576.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 479, 414, 713, 632

1. What is the LCM of 479, 414, 713, 632?

Answer: LCM of 479, 414, 713, 632 is 1942605576.

2. How to calculate the LCM of 479, 414, 713, 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 479, 414, 713, 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}.