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LCM of 260, 402, 722, 695

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


Find the LCM of 260, 402, 722, 695 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 260, 402, 722, 695. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 260,402,722,695

Given numbers are 260,402,722,695

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

The LCM of 260,402,722,695 is 2622354540.

Find LCM of 260,402,722,695 with Prime Factorization


2 260, 402, 722, 695
5 130, 201, 361, 695
26, 201, 361, 139

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

2 x 5 x 26 x 201 x 361 x 139 = 2622354540

Therefore, the lowest common multiple of 260,402,722,695 is 2622354540.

LCM Formula to Find Lowest Common Multiple of 260,402,722,695

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.

260 x 402 x 722 x 695 = 52447090800

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.

260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

402 : 1, 2, 3, 6, 67, 134, 201, 402

722 : 1, 2, 19, 38, 361, 722

695 : 1, 5, 139, 695

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,402,722,695, is 1.

Now, the common factors can be found like this.

260:2x 2x 5x 13

402:2x 3x 67

722:2x 19x 19

695:5x 139

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 5 = 20

Therefore, the value for common factors is 20.

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 = 52447090800/(1x20)

LCM = 52447090800/20

LCM = 2622354540

Thus, we can understand that the LCM of 260,402,722,695 is 2622354540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 260, 402, 722, 695

1. What is the LCM of 260, 402, 722, 695?

Answer: LCM of 260, 402, 722, 695 is 2622354540.

2. How to calculate the LCM of 260, 402, 722, 695?

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 260, 402, 722, 695.

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}.