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LCM of 697, 724, 542, 556

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


Find the LCM of 697, 724, 542, 556 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 697, 724, 542, 556. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 697,724,542,556

Given numbers are 697,724,542,556

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

The LCM of 697,724,542,556 is 19008832132.

Find LCM of 697,724,542,556 with Prime Factorization


2 697, 724, 542, 556
2 697, 362, 271, 278
697, 181, 271, 139

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

2 x 2 x 697 x 181 x 271 x 139 = 19008832132

Therefore, the lowest common multiple of 697,724,542,556 is 19008832132.

LCM Formula to Find Lowest Common Multiple of 697,724,542,556

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.

697 x 724 x 542 x 556 = 152070657056

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.

697 : 1, 17, 41, 697

724 : 1, 2, 4, 181, 362, 724

542 : 1, 2, 271, 542

556 : 1, 2, 4, 139, 278, 556

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,724,542,556, is 1.

Now, the common factors can be found like this.

697:17x 41

724:2x 2x 181

542:2x 271

556:2x 2x 139

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 2 = 8

Therefore, the value for common factors is 8.

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 = 152070657056/(1x8)

LCM = 152070657056/8

LCM = 19008832132

Thus, we can understand that the LCM of 697,724,542,556 is 19008832132.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 697, 724, 542, 556

1. What is the LCM of 697, 724, 542, 556?

Answer: LCM of 697, 724, 542, 556 is 19008832132.

2. How to calculate the LCM of 697, 724, 542, 556?

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 697, 724, 542, 556.

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}.