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LCM of 523, 692, 661, 206, 951

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


Find the LCM of 523, 692, 661, 206, 951 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 523, 692, 661, 206, 951. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 523,692,661,206,951

Given numbers are 523,692,661,206,951

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

The LCM of 523,692,661,206,951 is 23432951003628.

Find LCM of 523,692,661,206,951 with Prime Factorization


2 523, 692, 661, 206, 951
523, 346, 661, 103, 951

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

2 x 523 x 346 x 661 x 103 x 951 = 23432951003628

Therefore, the lowest common multiple of 523,692,661,206,951 is 23432951003628.

LCM Formula to Find Lowest Common Multiple of 523,692,661,206,951

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.

523 x 692 x 661 x 206 x 951 = 46865902007256

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.

523 : 1, 523

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

661 : 1, 661

206 : 1, 2, 103, 206

951 : 1, 3, 317, 951

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 523,692,661,206,951, is 1.

Now, the common factors can be found like this.

523:523

692:2x 2x 173

661:661

206:2x 103

951:3x 317

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 = 46865902007256/(1x2)

LCM = 46865902007256/2

LCM = 23432951003628

Thus, we can understand that the LCM of 523,692,661,206,951 is 23432951003628.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 523, 692, 661, 206, 951

1. What is the LCM of 523, 692, 661, 206, 951?

Answer: LCM of 523, 692, 661, 206, 951 is 23432951003628.

2. How to calculate the LCM of 523, 692, 661, 206, 951?

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 523, 692, 661, 206, 951.

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}.