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LCM of 682, 632, 305, 744, 694

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


Find the LCM of 682, 632, 305, 744, 694 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 682, 632, 305, 744, 694. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 682,632,305,744,694

Given numbers are 682,632,305,744,694

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

The LCM of 682,632,305,744,694 is 68426137560.

Find LCM of 682,632,305,744,694 with Prime Factorization


2 682, 632, 305, 744, 694
2 341, 316, 305, 372, 347
2 341, 158, 305, 186, 347
31 341, 79, 305, 93, 347
11, 79, 305, 3, 347

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

2 x 2 x 2 x 31 x 11 x 79 x 305 x 3 x 347 = 68426137560

Therefore, the lowest common multiple of 682,632,305,744,694 is 68426137560.

LCM Formula to Find Lowest Common Multiple of 682,632,305,744,694

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.

682 x 632 x 305 x 744 x 694 = 67878728459520

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.

682 : 1, 2, 11, 22, 31, 62, 341, 682

632 : 1, 2, 4, 8, 79, 158, 316, 632

305 : 1, 5, 61, 305

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

694 : 1, 2, 347, 694

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,632,305,744,694, is 1.

Now, the common factors can be found like this.

682:2x 11x 31

632:2x 2x 2x 79

305:5x 61

744:2x 2x 2x 3x 31

694:2x 347

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

2x 2x 2x 2x 2x 31 = 992

Therefore, the value for common factors is 992.

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 = 67878728459520/(1x992)

LCM = 67878728459520/992

LCM = 68426137560

Thus, we can understand that the LCM of 682,632,305,744,694 is 68426137560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 682, 632, 305, 744, 694

1. What is the LCM of 682, 632, 305, 744, 694?

Answer: LCM of 682, 632, 305, 744, 694 is 68426137560.

2. How to calculate the LCM of 682, 632, 305, 744, 694?

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 682, 632, 305, 744, 694.

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}.