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LCM of 768, 610, 889, 677

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


Find the LCM of 768, 610, 889, 677 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 768, 610, 889, 677. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,610,889,677

Given numbers are 768,610,889,677

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

The LCM of 768,610,889,677 is 140978046720.

Find LCM of 768,610,889,677 with Prime Factorization


2 768, 610, 889, 677
384, 305, 889, 677

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

2 x 384 x 305 x 889 x 677 = 140978046720

Therefore, the lowest common multiple of 768,610,889,677 is 140978046720.

LCM Formula to Find Lowest Common Multiple of 768,610,889,677

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.

768 x 610 x 889 x 677 = 281956093440

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.

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

610 : 1, 2, 5, 10, 61, 122, 305, 610

889 : 1, 7, 127, 889

677 : 1, 677

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,610,889,677, is 1.

Now, the common factors can be found like this.

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

610:2x 5x 61

889:7x 127

677:677

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

2 = 2

Therefore, the value for common factors is 2.

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 = 281956093440/(1x2)

LCM = 281956093440/2

LCM = 140978046720

Thus, we can understand that the LCM of 768,610,889,677 is 140978046720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 610, 889, 677

1. What is the LCM of 768, 610, 889, 677?

Answer: LCM of 768, 610, 889, 677 is 140978046720.

2. How to calculate the LCM of 768, 610, 889, 677?

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 768, 610, 889, 677.

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}.