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LCM of 771, 589, 889, 928, 762

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


Find the LCM of 771, 589, 889, 928, 762 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, 589, 889, 928, 762. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 771,589,889,928,762

Given numbers are 771,589,889,928,762

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

The LCM of 771,589,889,928,762 is 374644542048.

Find LCM of 771,589,889,928,762 with Prime Factorization


2 771, 589, 889, 928, 762
3 771, 589, 889, 464, 381
127 257, 589, 889, 464, 127
257, 589, 7, 464, 1

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

2 x 3 x 127 x 257 x 589 x 7 x 464 x 1 = 374644542048

Therefore, the lowest common multiple of 771,589,889,928,762 is 374644542048.

LCM Formula to Find Lowest Common Multiple of 771,589,889,928,762

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 589 x 889 x 928 x 762 = 285479141040576

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

589 : 1, 19, 31, 589

889 : 1, 7, 127, 889

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

762 : 1, 2, 3, 6, 127, 254, 381, 762

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 771,589,889,928,762, is 1.

Now, the common factors can be found like this.

771:3x 257

589:19x 31

889:7x 127

928:2x 2x 2x 2x 2x 29

762:2x 3x 127

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

2x 3x 127 = 762

Therefore, the value for common factors is 762.

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 = 285479141040576/(1x762)

LCM = 285479141040576/762

LCM = 374644542048

Thus, we can understand that the LCM of 771,589,889,928,762 is 374644542048.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 771, 589, 889, 928, 762

1. What is the LCM of 771, 589, 889, 928, 762?

Answer: LCM of 771, 589, 889, 928, 762 is 374644542048.

2. How to calculate the LCM of 771, 589, 889, 928, 762?

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, 589, 889, 928, 762.

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}.