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LCM of 597, 697, 712, 636, 612

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


Find the LCM of 597, 697, 712, 636, 612 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 597, 697, 712, 636, 612. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 597,697,712,636,612

Given numbers are 597,697,712,636,612

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

The LCM of 597,697,712,636,612 is 47106867672.

Find LCM of 597,697,712,636,612 with Prime Factorization


2 597, 697, 712, 636, 612
2 597, 697, 356, 318, 306
3 597, 697, 178, 159, 153
17 199, 697, 178, 53, 51
199, 41, 178, 53, 3

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

2 x 2 x 3 x 17 x 199 x 41 x 178 x 53 x 3 = 47106867672

Therefore, the lowest common multiple of 597,697,712,636,612 is 47106867672.

LCM Formula to Find Lowest Common Multiple of 597,697,712,636,612

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.

597 x 697 x 712 x 636 x 612 = 115317612061056

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.

597 : 1, 3, 199, 597

697 : 1, 17, 41, 697

712 : 1, 2, 4, 8, 89, 178, 356, 712

636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636

612 : 1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 597,697,712,636,612, is 1.

Now, the common factors can be found like this.

597:3x 199

697:17x 41

712:2x 2x 2x 89

636:2x 2x 3x 53

612:2x 2x 3x 3x 17

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 2x 2x 3x 3x 17 = 2448

Therefore, the value for common factors is 2448.

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 = 115317612061056/(1x2448)

LCM = 115317612061056/2448

LCM = 47106867672

Thus, we can understand that the LCM of 597,697,712,636,612 is 47106867672.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 597, 697, 712, 636, 612

1. What is the LCM of 597, 697, 712, 636, 612?

Answer: LCM of 597, 697, 712, 636, 612 is 47106867672.

2. How to calculate the LCM of 597, 697, 712, 636, 612?

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 597, 697, 712, 636, 612.

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}.