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LCM of 771, 420, 540, 487

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


Find the LCM of 771, 420, 540, 487 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 771, 420, 540, 487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,420,540,487

Given numbers are 771,420,540,487

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

The LCM of 771,420,540,487 is 473101020.

Find LCM of 771,420,540,487 with Prime Factorization


2 771, 420, 540, 487
2 771, 210, 270, 487
3 771, 105, 135, 487
5 257, 35, 45, 487
257, 7, 9, 487

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

2 x 2 x 3 x 5 x 257 x 7 x 9 x 487 = 473101020

Therefore, the lowest common multiple of 771,420,540,487 is 473101020.

LCM Formula to Find Lowest Common Multiple of 771,420,540,487

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.

771 x 420 x 540 x 487 = 85158183600

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.

771 : 1, 3, 257, 771

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

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

487 : 1, 487

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,420,540,487, is 1.

Now, the common factors can be found like this.

771:3x 257

420:2x 2x 3x 5x 7

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

487:487

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 3x 3x 5 = 180

Therefore, the value for common factors is 180.

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 = 85158183600/(1x180)

LCM = 85158183600/180

LCM = 473101020

Thus, we can understand that the LCM of 771,420,540,487 is 473101020.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 420, 540, 487

1. What is the LCM of 771, 420, 540, 487?

Answer: LCM of 771, 420, 540, 487 is 473101020.

2. How to calculate the LCM of 771, 420, 540, 487?

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 771, 420, 540, 487.

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}.