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LCM of 692, 615, 123, 647

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


Find the LCM of 692, 615, 123, 647 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 692, 615, 123, 647. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 692,615,123,647

Given numbers are 692,615,123,647

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

The LCM of 692,615,123,647 is 275350260.

Find LCM of 692,615,123,647 with Prime Factorization


3 692, 615, 123, 647
41 692, 205, 41, 647
692, 5, 1, 647

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

3 x 41 x 692 x 5 x 1 x 647 = 275350260

Therefore, the lowest common multiple of 692,615,123,647 is 275350260.

LCM Formula to Find Lowest Common Multiple of 692,615,123,647

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.

692 x 615 x 123 x 647 = 33868081980

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.

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

615 : 1, 3, 5, 15, 41, 123, 205, 615

123 : 1, 3, 41, 123

647 : 1, 647

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 692,615,123,647, is 1.

Now, the common factors can be found like this.

692:2x 2x 173

615:3x 5x 41

123:3x 41

647:647

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

3x 41 = 123

Therefore, the value for common factors is 123.

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 = 33868081980/(1x123)

LCM = 33868081980/123

LCM = 275350260

Thus, we can understand that the LCM of 692,615,123,647 is 275350260.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 692, 615, 123, 647

1. What is the LCM of 692, 615, 123, 647?

Answer: LCM of 692, 615, 123, 647 is 275350260.

2. How to calculate the LCM of 692, 615, 123, 647?

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 692, 615, 123, 647.

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}.