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LCM of 487, 581, 254, 177, 768

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


Find the LCM of 487, 581, 254, 177, 768 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, 581, 254, 177, 768. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 487,581,254,177,768

Given numbers are 487,581,254,177,768

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

The LCM of 487,581,254,177,768 is 1628253596928.

Find LCM of 487,581,254,177,768 with Prime Factorization


2 487, 581, 254, 177, 768
3 487, 581, 127, 177, 384
487, 581, 127, 59, 128

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

2 x 3 x 487 x 581 x 127 x 59 x 128 = 1628253596928

Therefore, the lowest common multiple of 487,581,254,177,768 is 1628253596928.

LCM Formula to Find Lowest Common Multiple of 487,581,254,177,768

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 581 x 254 x 177 x 768 = 9769521581568

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

581 : 1, 7, 83, 581

254 : 1, 2, 127, 254

177 : 1, 3, 59, 177

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,581,254,177,768, is 1.

Now, the common factors can be found like this.

487:487

581:7x 83

254:2x 127

177:3x 59

768:2x 2x 2x 2x 2x 2x 2x 2x 3

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 9769521581568/(1x6)

LCM = 9769521581568/6

LCM = 1628253596928

Thus, we can understand that the LCM of 487,581,254,177,768 is 1628253596928.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 487, 581, 254, 177, 768

1. What is the LCM of 487, 581, 254, 177, 768?

Answer: LCM of 487, 581, 254, 177, 768 is 1628253596928.

2. How to calculate the LCM of 487, 581, 254, 177, 768?

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, 581, 254, 177, 768.

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}.