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LCM of 487, 418, 303, 707

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


Find the LCM of 487, 418, 303, 707 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 487, 418, 303, 707. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,418,303,707

Given numbers are 487,418,303,707

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

The LCM of 487,418,303,707 is 431763486.

Find LCM of 487,418,303,707 with Prime Factorization


101 487, 418, 303, 707
487, 418, 3, 7

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

101 x 487 x 418 x 3 x 7 = 431763486

Therefore, the lowest common multiple of 487,418,303,707 is 431763486.

LCM Formula to Find Lowest Common Multiple of 487,418,303,707

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.

487 x 418 x 303 x 707 = 43608112086

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.

487 : 1, 487

418 : 1, 2, 11, 19, 22, 38, 209, 418

303 : 1, 3, 101, 303

707 : 1, 7, 101, 707

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,418,303,707, is 1.

Now, the common factors can be found like this.

487:487

418:2x 11x 19

303:3x 101

707:7x 101

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

101 = 101

Therefore, the value for common factors is 101.

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 = 43608112086/(1x101)

LCM = 43608112086/101

LCM = 431763486

Thus, we can understand that the LCM of 487,418,303,707 is 431763486.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 418, 303, 707

1. What is the LCM of 487, 418, 303, 707?

Answer: LCM of 487, 418, 303, 707 is 431763486.

2. How to calculate the LCM of 487, 418, 303, 707?

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 487, 418, 303, 707.

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}.