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LCM of 572, 692, 377, 346

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


Find the LCM of 572, 692, 377, 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 572, 692, 377, 346. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 572,692,377,346

Given numbers are 572,692,377,346

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

The LCM of 572,692,377,346 is 2869724.

Find LCM of 572,692,377,346 with Prime Factorization


2 572, 692, 377, 346
2 286, 346, 377, 173
13 143, 173, 377, 173
173 11, 173, 29, 173
11, 1, 29, 1

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

2 x 2 x 13 x 173 x 11 x 1 x 29 x 1 = 2869724

Therefore, the lowest common multiple of 572,692,377,346 is 2869724.

LCM Formula to Find Lowest Common Multiple of 572,692,377,346

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.

572 x 692 x 377 x 346 = 51632074208

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.

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

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

377 : 1, 13, 29, 377

346 : 1, 2, 173, 346

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 572,692,377,346, is 1.

Now, the common factors can be found like this.

572:2x 2x 11x 13

692:2x 2x 173

377:13x 29

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 2x 2x 13x 173 = 17992

Therefore, the value for common factors is 17992.

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 = 51632074208/(1x17992)

LCM = 51632074208/17992

LCM = 2869724

Thus, we can understand that the LCM of 572,692,377,346 is 2869724.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 572, 692, 377, 346

1. What is the LCM of 572, 692, 377, 346?

Answer: LCM of 572, 692, 377, 346 is 2869724.

2. How to calculate the LCM of 572, 692, 377, 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 572, 692, 377, 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}.