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LCM of 695, 692, 349, 346

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


Find the LCM of 695, 692, 349, 346 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, 692, 349, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 695,692,349,346

Given numbers are 695,692,349,346

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

The LCM of 695,692,349,346 is 167848060.

Find LCM of 695,692,349,346 with Prime Factorization


2 695, 692, 349, 346
173 695, 346, 349, 173
695, 2, 349, 1

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

2 x 173 x 695 x 2 x 349 x 1 = 167848060

Therefore, the lowest common multiple of 695,692,349,346 is 167848060.

LCM Formula to Find Lowest Common Multiple of 695,692,349,346

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 692 x 349 x 346 = 58075428760

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

692 : 1, 2, 4, 173, 346, 692

349 : 1, 349

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 695,692,349,346, is 1.

Now, the common factors can be found like this.

695:5x 139

692:2x 2x 173

349:349

346:2x 173

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

2x 173 = 346

Therefore, the value for common factors is 346.

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 = 58075428760/(1x346)

LCM = 58075428760/346

LCM = 167848060

Thus, we can understand that the LCM of 695,692,349,346 is 167848060.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 695, 692, 349, 346

1. What is the LCM of 695, 692, 349, 346?

Answer: LCM of 695, 692, 349, 346 is 167848060.

2. How to calculate the LCM of 695, 692, 349, 346?

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, 692, 349, 346.

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}.