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LCM of 695, 869, 362, 356

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


Find the LCM of 695, 869, 362, 356 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, 869, 362, 356. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,869,362,356

Given numbers are 695,869,362,356

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

The LCM of 695,869,362,356 is 38916444380.

Find LCM of 695,869,362,356 with Prime Factorization


2 695, 869, 362, 356
695, 869, 181, 178

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

2 x 695 x 869 x 181 x 178 = 38916444380

Therefore, the lowest common multiple of 695,869,362,356 is 38916444380.

LCM Formula to Find Lowest Common Multiple of 695,869,362,356

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 869 x 362 x 356 = 77832888760

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

869 : 1, 11, 79, 869

362 : 1, 2, 181, 362

356 : 1, 2, 4, 89, 178, 356

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,869,362,356, is 1.

Now, the common factors can be found like this.

695:5x 139

869:11x 79

362:2x 181

356:2x 2x 89

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

2 = 2

Therefore, the value for common factors is 2.

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 = 77832888760/(1x2)

LCM = 77832888760/2

LCM = 38916444380

Thus, we can understand that the LCM of 695,869,362,356 is 38916444380.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 869, 362, 356

1. What is the LCM of 695, 869, 362, 356?

Answer: LCM of 695, 869, 362, 356 is 38916444380.

2. How to calculate the LCM of 695, 869, 362, 356?

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, 869, 362, 356.

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}.