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LCM of 569, 418, 697, 868

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


Find the LCM of 569, 418, 697, 868 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 569, 418, 697, 868. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 569,418,697,868

Given numbers are 569,418,697,868

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

The LCM of 569,418,697,868 is 71946729316.

Find LCM of 569,418,697,868 with Prime Factorization


2 569, 418, 697, 868
569, 209, 697, 434

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

2 x 569 x 209 x 697 x 434 = 71946729316

Therefore, the lowest common multiple of 569,418,697,868 is 71946729316.

LCM Formula to Find Lowest Common Multiple of 569,418,697,868

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.

569 x 418 x 697 x 868 = 143893458632

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.

569 : 1, 569

418 : 1, 2, 11, 19, 22, 38, 209, 418

697 : 1, 17, 41, 697

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 569,418,697,868, is 1.

Now, the common factors can be found like this.

569:569

418:2x 11x 19

697:17x 41

868:2x 2x 7x 31

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 = 143893458632/(1x2)

LCM = 143893458632/2

LCM = 71946729316

Thus, we can understand that the LCM of 569,418,697,868 is 71946729316.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 569, 418, 697, 868

1. What is the LCM of 569, 418, 697, 868?

Answer: LCM of 569, 418, 697, 868 is 71946729316.

2. How to calculate the LCM of 569, 418, 697, 868?

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 569, 418, 697, 868.

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}.