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LCM of 691, 847, 294, 660

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


Find the LCM of 691, 847, 294, 660 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 691, 847, 294, 660. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 691,847,294,660

Given numbers are 691,847,294,660

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

The LCM of 691,847,294,660 is 245816340.

Find LCM of 691,847,294,660 with Prime Factorization


2 691, 847, 294, 660
3 691, 847, 147, 330
7 691, 847, 49, 110
11 691, 121, 7, 110
691, 11, 7, 10

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

2 x 3 x 7 x 11 x 691 x 11 x 7 x 10 = 245816340

Therefore, the lowest common multiple of 691,847,294,660 is 245816340.

LCM Formula to Find Lowest Common Multiple of 691,847,294,660

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.

691 x 847 x 294 x 660 = 113567149080

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.

691 : 1, 691

847 : 1, 7, 11, 77, 121, 847

294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

660 : 1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 691,847,294,660, is 1.

Now, the common factors can be found like this.

691:691

847:7x 11x 11

294:2x 3x 7x 7

660:2x 2x 3x 5x 11

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 7x 11 = 462

Therefore, the value for common factors is 462.

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 = 113567149080/(1x462)

LCM = 113567149080/462

LCM = 245816340

Thus, we can understand that the LCM of 691,847,294,660 is 245816340.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 691, 847, 294, 660

1. What is the LCM of 691, 847, 294, 660?

Answer: LCM of 691, 847, 294, 660 is 245816340.

2. How to calculate the LCM of 691, 847, 294, 660?

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 691, 847, 294, 660.

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}.