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LCM of 704, 694, 881, 393, 671

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


Find the LCM of 704, 694, 881, 393, 671 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 704, 694, 881, 393, 671. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 704,694,881,393,671

Given numbers are 704,694,881,393,671

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

The LCM of 704,694,881,393,671 is 5159414593344.

Find LCM of 704,694,881,393,671 with Prime Factorization


2 704, 694, 881, 393, 671
11 352, 347, 881, 393, 671
32, 347, 881, 393, 61

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

2 x 11 x 32 x 347 x 881 x 393 x 61 = 5159414593344

Therefore, the lowest common multiple of 704,694,881,393,671 is 5159414593344.

LCM Formula to Find Lowest Common Multiple of 704,694,881,393,671

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.

704 x 694 x 881 x 393 x 671 = 113507121053568

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.

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

694 : 1, 2, 347, 694

881 : 1, 881

393 : 1, 3, 131, 393

671 : 1, 11, 61, 671

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,694,881,393,671, is 1.

Now, the common factors can be found like this.

704:2x 2x 2x 2x 2x 2x 11

694:2x 347

881:881

393:3x 131

671:11x 61

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

2x 11 = 22

Therefore, the value for common factors is 22.

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 = 113507121053568/(1x22)

LCM = 113507121053568/22

LCM = 5159414593344

Thus, we can understand that the LCM of 704,694,881,393,671 is 5159414593344.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 704, 694, 881, 393, 671

1. What is the LCM of 704, 694, 881, 393, 671?

Answer: LCM of 704, 694, 881, 393, 671 is 5159414593344.

2. How to calculate the LCM of 704, 694, 881, 393, 671?

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 704, 694, 881, 393, 671.

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}.