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LCM of 695, 406, 278, 268

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


Find the LCM of 695, 406, 278, 268 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 695, 406, 278, 268. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,406,278,268

Given numbers are 695,406,278,268

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

The LCM of 695,406,278,268 is 37810780.

Find LCM of 695,406,278,268 with Prime Factorization


2 695, 406, 278, 268
139 695, 203, 139, 134
5, 203, 1, 134

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

2 x 139 x 5 x 203 x 1 x 134 = 37810780

Therefore, the lowest common multiple of 695,406,278,268 is 37810780.

LCM Formula to Find Lowest Common Multiple of 695,406,278,268

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.

695 x 406 x 278 x 268 = 21022793680

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.

695 : 1, 5, 139, 695

406 : 1, 2, 7, 14, 29, 58, 203, 406

278 : 1, 2, 139, 278

268 : 1, 2, 4, 67, 134, 268

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,406,278,268, is 1.

Now, the common factors can be found like this.

695:5x 139

406:2x 7x 29

278:2x 139

268:2x 2x 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 139 = 556

Therefore, the value for common factors is 556.

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 = 21022793680/(1x556)

LCM = 21022793680/556

LCM = 37810780

Thus, we can understand that the LCM of 695,406,278,268 is 37810780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 406, 278, 268

1. What is the LCM of 695, 406, 278, 268?

Answer: LCM of 695, 406, 278, 268 is 37810780.

2. How to calculate the LCM of 695, 406, 278, 268?

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 695, 406, 278, 268.

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}.