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LCM of 312, 307, 705, 702, 718

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


Find the LCM of 312, 307, 705, 702, 718 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 312, 307, 705, 702, 718. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 312,307,705,702,718

Given numbers are 312,307,705,702,718

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

The LCM of 312,307,705,702,718 is 72727354440.

Find LCM of 312,307,705,702,718 with Prime Factorization


2 312, 307, 705, 702, 718
3 156, 307, 705, 351, 359
13 52, 307, 235, 117, 359
4, 307, 235, 9, 359

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

2 x 3 x 13 x 4 x 307 x 235 x 9 x 359 = 72727354440

Therefore, the lowest common multiple of 312,307,705,702,718 is 72727354440.

LCM Formula to Find Lowest Common Multiple of 312,307,705,702,718

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.

312 x 307 x 705 x 702 x 718 = 34036401877920

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.

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

307 : 1, 307

705 : 1, 3, 5, 15, 47, 141, 235, 705

702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

718 : 1, 2, 359, 718

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 312,307,705,702,718, is 1.

Now, the common factors can be found like this.

312:2x 2x 2x 3x 13

307:307

705:3x 5x 47

702:2x 3x 3x 3x 13

718:2x 359

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 3x 3x 13 = 468

Therefore, the value for common factors is 468.

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 = 34036401877920/(1x468)

LCM = 34036401877920/468

LCM = 72727354440

Thus, we can understand that the LCM of 312,307,705,702,718 is 72727354440.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 312, 307, 705, 702, 718

1. What is the LCM of 312, 307, 705, 702, 718?

Answer: LCM of 312, 307, 705, 702, 718 is 72727354440.

2. How to calculate the LCM of 312, 307, 705, 702, 718?

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 312, 307, 705, 702, 718.

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}.