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LCM of 726, 360, 307, 238, 700

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


Find the LCM of 726, 360, 307, 238, 700 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 726, 360, 307, 238, 700. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 726,360,307,238,700

Given numbers are 726,360,307,238,700

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

The LCM of 726,360,307,238,700 is 7956887400.

Find LCM of 726,360,307,238,700 with Prime Factorization


2 726, 360, 307, 238, 700
2 363, 180, 307, 119, 350
3 363, 90, 307, 119, 175
5 121, 30, 307, 119, 175
7 121, 6, 307, 119, 35
121, 6, 307, 17, 5

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

2 x 2 x 3 x 5 x 7 x 121 x 6 x 307 x 17 x 5 = 7956887400

Therefore, the lowest common multiple of 726,360,307,238,700 is 7956887400.

LCM Formula to Find Lowest Common Multiple of 726,360,307,238,700

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.

726 x 360 x 307 x 238 x 700 = 13367570832000

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.

726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

307 : 1, 307

238 : 1, 2, 7, 14, 17, 34, 119, 238

700 : 1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,360,307,238,700, is 1.

Now, the common factors can be found like this.

726:2x 3x 11x 11

360:2x 2x 2x 3x 3x 5

307:307

238:2x 7x 17

700:2x 2x 5x 5x 7

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 5x 7 = 1680

Therefore, the value for common factors is 1680.

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 = 13367570832000/(1x1680)

LCM = 13367570832000/1680

LCM = 7956887400

Thus, we can understand that the LCM of 726,360,307,238,700 is 7956887400.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 726, 360, 307, 238, 700

1. What is the LCM of 726, 360, 307, 238, 700?

Answer: LCM of 726, 360, 307, 238, 700 is 7956887400.

2. How to calculate the LCM of 726, 360, 307, 238, 700?

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 726, 360, 307, 238, 700.

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}.