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LCM of 720, 226, 308, 711

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


Find the LCM of 720, 226, 308, 711 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 720, 226, 308, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 720,226,308,711

Given numbers are 720,226,308,711

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

The LCM of 720,226,308,711 is 494912880.

Find LCM of 720,226,308,711 with Prime Factorization


2 720, 226, 308, 711
2 360, 113, 154, 711
3 180, 113, 77, 711
3 60, 113, 77, 237
20, 113, 77, 79

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

2 x 2 x 3 x 3 x 20 x 113 x 77 x 79 = 494912880

Therefore, the lowest common multiple of 720,226,308,711 is 494912880.

LCM Formula to Find Lowest Common Multiple of 720,226,308,711

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.

720 x 226 x 308 x 711 = 35633727360

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.

720 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

226 : 1, 2, 113, 226

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

711 : 1, 3, 9, 79, 237, 711

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 720,226,308,711, is 1.

Now, the common factors can be found like this.

720:2x 2x 2x 2x 3x 3x 5

226:2x 113

308:2x 2x 7x 11

711:3x 3x 79

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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 35633727360/(1x72)

LCM = 35633727360/72

LCM = 494912880

Thus, we can understand that the LCM of 720,226,308,711 is 494912880.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 720, 226, 308, 711

1. What is the LCM of 720, 226, 308, 711?

Answer: LCM of 720, 226, 308, 711 is 494912880.

2. How to calculate the LCM of 720, 226, 308, 711?

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 720, 226, 308, 711.

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}.