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LCM of 456, 518, 428, 540

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


Find the LCM of 456, 518, 428, 540 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 456, 518, 428, 540. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 456,518,428,540

Given numbers are 456,518,428,540

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

The LCM of 456,518,428,540 is 568670760.

Find LCM of 456,518,428,540 with Prime Factorization


2 456, 518, 428, 540
2 228, 259, 214, 270
3 114, 259, 107, 135
38, 259, 107, 45

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

2 x 2 x 3 x 38 x 259 x 107 x 45 = 568670760

Therefore, the lowest common multiple of 456,518,428,540 is 568670760.

LCM Formula to Find Lowest Common Multiple of 456,518,428,540

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.

456 x 518 x 428 x 540 = 54592392960

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.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

518 : 1, 2, 7, 14, 37, 74, 259, 518

428 : 1, 2, 4, 107, 214, 428

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,518,428,540, is 2.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

518:2x 7x 37

428:2x 2x 107

540:2x 2x 3x 3x 3x 5

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

2x 2x 2x 2x 3 = 48

Therefore, the value for common factors is 48.

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 = 54592392960/(2x48)

LCM = 54592392960/96

LCM = 568670760

Thus, we can understand that the LCM of 456,518,428,540 is 568670760.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 456, 518, 428, 540

1. What is the LCM of 456, 518, 428, 540?

Answer: LCM of 456, 518, 428, 540 is 568670760.

2. How to calculate the LCM of 456, 518, 428, 540?

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 456, 518, 428, 540.

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}.