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LCM of 487, 474, 992, 220, 769

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


Find the LCM of 487, 474, 992, 220, 769 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, 474, 992, 220, 769. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,474,992,220,769

Given numbers are 487,474,992,220,769

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

The LCM of 487,474,992,220,769 is 4842593432160.

Find LCM of 487,474,992,220,769 with Prime Factorization


2 487, 474, 992, 220, 769
2 487, 237, 496, 110, 769
487, 237, 248, 55, 769

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

2 x 2 x 487 x 237 x 248 x 55 x 769 = 4842593432160

Therefore, the lowest common multiple of 487,474,992,220,769 is 4842593432160.

LCM Formula to Find Lowest Common Multiple of 487,474,992,220,769

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 474 x 992 x 220 x 769 = 38740747457280

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

474 : 1, 2, 3, 6, 79, 158, 237, 474

992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

769 : 1, 769

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,474,992,220,769, is 1.

Now, the common factors can be found like this.

487:487

474:2x 3x 79

992:2x 2x 2x 2x 2x 31

220:2x 2x 5x 11

769:769

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 2 = 8

Therefore, the value for common factors is 8.

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 = 38740747457280/(1x8)

LCM = 38740747457280/8

LCM = 4842593432160

Thus, we can understand that the LCM of 487,474,992,220,769 is 4842593432160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 474, 992, 220, 769

1. What is the LCM of 487, 474, 992, 220, 769?

Answer: LCM of 487, 474, 992, 220, 769 is 4842593432160.

2. How to calculate the LCM of 487, 474, 992, 220, 769?

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, 474, 992, 220, 769.

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}.