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LCM of 707, 873, 949, 663, 374

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


Find the LCM of 707, 873, 949, 663, 374 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 707, 873, 949, 663, 374. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 707,873,949,663,374

Given numbers are 707,873,949,663,374

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

The LCM of 707,873,949,663,374 is 219064231386.

Find LCM of 707,873,949,663,374 with Prime Factorization


3 707, 873, 949, 663, 374
13 707, 291, 949, 221, 374
17 707, 291, 73, 17, 374
707, 291, 73, 1, 22

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

3 x 13 x 17 x 707 x 291 x 73 x 1 x 22 = 219064231386

Therefore, the lowest common multiple of 707,873,949,663,374 is 219064231386.

LCM Formula to Find Lowest Common Multiple of 707,873,949,663,374

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.

707 x 873 x 949 x 663 x 374 = 145239585408918

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.

707 : 1, 7, 101, 707

873 : 1, 3, 9, 97, 291, 873

949 : 1, 13, 73, 949

663 : 1, 3, 13, 17, 39, 51, 221, 663

374 : 1, 2, 11, 17, 22, 34, 187, 374

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 707,873,949,663,374, is 1.

Now, the common factors can be found like this.

707:7x 101

873:3x 3x 97

949:13x 73

663:3x 13x 17

374:2x 11x 17

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

3x 13x 17 = 663

Therefore, the value for common factors is 663.

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 = 145239585408918/(1x663)

LCM = 145239585408918/663

LCM = 219064231386

Thus, we can understand that the LCM of 707,873,949,663,374 is 219064231386.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 707, 873, 949, 663, 374

1. What is the LCM of 707, 873, 949, 663, 374?

Answer: LCM of 707, 873, 949, 663, 374 is 219064231386.

2. How to calculate the LCM of 707, 873, 949, 663, 374?

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 707, 873, 949, 663, 374.

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}.