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LCM of 697, 954, 642, 963, 597

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


Find the LCM of 697, 954, 642, 963, 597 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, 954, 642, 963, 597. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 697,954,642,963,597

Given numbers are 697,954,642,963,597

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

The LCM of 697,954,642,963,597 is 14158524834.

Find LCM of 697,954,642,963,597 with Prime Factorization


2 697, 954, 642, 963, 597
3 697, 477, 321, 963, 597
3 697, 159, 107, 321, 199
107 697, 53, 107, 107, 199
697, 53, 1, 1, 199

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

2 x 3 x 3 x 107 x 697 x 53 x 1 x 1 x 199 = 14158524834

Therefore, the lowest common multiple of 697,954,642,963,597 is 14158524834.

LCM Formula to Find Lowest Common Multiple of 697,954,642,963,597

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 954 x 642 x 963 x 597 = 245423869472556

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

954 : 1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

642 : 1, 2, 3, 6, 107, 214, 321, 642

963 : 1, 3, 9, 107, 321, 963

597 : 1, 3, 199, 597

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,954,642,963,597, is 1.

Now, the common factors can be found like this.

697:17x 41

954:2x 3x 3x 53

642:2x 3x 107

963:3x 3x 107

597:3x 199

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

2x 3x 3x 3x 3x 107 = 17334

Therefore, the value for common factors is 17334.

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 = 245423869472556/(1x17334)

LCM = 245423869472556/17334

LCM = 14158524834

Thus, we can understand that the LCM of 697,954,642,963,597 is 14158524834.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 697, 954, 642, 963, 597

1. What is the LCM of 697, 954, 642, 963, 597?

Answer: LCM of 697, 954, 642, 963, 597 is 14158524834.

2. How to calculate the LCM of 697, 954, 642, 963, 597?

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, 954, 642, 963, 597.

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}.