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LCM of 769, 857, 314, 671, 684

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


Find the LCM of 769, 857, 314, 671, 684 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 769, 857, 314, 671, 684. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 769,857,314,671,684

Given numbers are 769,857,314,671,684

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

The LCM of 769,857,314,671,684 is 47488170224484.

Find LCM of 769,857,314,671,684 with Prime Factorization


2 769, 857, 314, 671, 684
769, 857, 157, 671, 342

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

2 x 769 x 857 x 157 x 671 x 342 = 47488170224484

Therefore, the lowest common multiple of 769,857,314,671,684 is 47488170224484.

LCM Formula to Find Lowest Common Multiple of 769,857,314,671,684

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.

769 x 857 x 314 x 671 x 684 = 94976340448968

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.

769 : 1, 769

857 : 1, 857

314 : 1, 2, 157, 314

671 : 1, 11, 61, 671

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 769,857,314,671,684, is 1.

Now, the common factors can be found like this.

769:769

857:857

314:2x 157

671:11x 61

684:2x 2x 3x 3x 19

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 = 94976340448968/(1x2)

LCM = 94976340448968/2

LCM = 47488170224484

Thus, we can understand that the LCM of 769,857,314,671,684 is 47488170224484.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 769, 857, 314, 671, 684

1. What is the LCM of 769, 857, 314, 671, 684?

Answer: LCM of 769, 857, 314, 671, 684 is 47488170224484.

2. How to calculate the LCM of 769, 857, 314, 671, 684?

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 769, 857, 314, 671, 684.

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}.