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LCM of 524, 126, 697, 401

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


Find the LCM of 524, 126, 697, 401 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 524, 126, 697, 401. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 524,126,697,401

Given numbers are 524,126,697,401

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

The LCM of 524,126,697,401 is 9226754964.

Find LCM of 524,126,697,401 with Prime Factorization


2 524, 126, 697, 401
262, 63, 697, 401

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

2 x 262 x 63 x 697 x 401 = 9226754964

Therefore, the lowest common multiple of 524,126,697,401 is 9226754964.

LCM Formula to Find Lowest Common Multiple of 524,126,697,401

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.

524 x 126 x 697 x 401 = 18453509928

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.

524 : 1, 2, 4, 131, 262, 524

126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

697 : 1, 17, 41, 697

401 : 1, 401

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 524,126,697,401, is 1.

Now, the common factors can be found like this.

524:2x 2x 131

126:2x 3x 3x 7

697:17x 41

401:401

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 = 18453509928/(1x2)

LCM = 18453509928/2

LCM = 9226754964

Thus, we can understand that the LCM of 524,126,697,401 is 9226754964.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 524, 126, 697, 401

1. What is the LCM of 524, 126, 697, 401?

Answer: LCM of 524, 126, 697, 401 is 9226754964.

2. How to calculate the LCM of 524, 126, 697, 401?

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 524, 126, 697, 401.

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}.