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LCM of 726, 714, 290, 681, 737

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


Find the LCM of 726, 714, 290, 681, 737 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 726, 714, 290, 681, 737. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,714,290,681,737

Given numbers are 726,714,290,681,737

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

The LCM of 726,714,290,681,737 is 190525120170.

Find LCM of 726,714,290,681,737 with Prime Factorization


2 726, 714, 290, 681, 737
3 363, 357, 145, 681, 737
11 121, 119, 145, 227, 737
11, 119, 145, 227, 67

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

2 x 3 x 11 x 11 x 119 x 145 x 227 x 67 = 190525120170

Therefore, the lowest common multiple of 726,714,290,681,737 is 190525120170.

LCM Formula to Find Lowest Common Multiple of 726,714,290,681,737

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.

726 x 714 x 290 x 681 x 737 = 75447947587320

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

290 : 1, 2, 5, 10, 29, 58, 145, 290

681 : 1, 3, 227, 681

737 : 1, 11, 67, 737

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,714,290,681,737, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

714:2x 3x 7x 17

290:2x 5x 29

681:3x 227

737:11x 67

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 3x 3x 11 = 396

Therefore, the value for common factors is 396.

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 = 75447947587320/(1x396)

LCM = 75447947587320/396

LCM = 190525120170

Thus, we can understand that the LCM of 726,714,290,681,737 is 190525120170.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 714, 290, 681, 737

1. What is the LCM of 726, 714, 290, 681, 737?

Answer: LCM of 726, 714, 290, 681, 737 is 190525120170.

2. How to calculate the LCM of 726, 714, 290, 681, 737?

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 726, 714, 290, 681, 737.

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}.