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LCM of 732, 778, 778, 711

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


Find the LCM of 732, 778, 778, 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 732, 778, 778, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 732,778,778,711

Given numbers are 732,778,778,711

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

The LCM of 732,778,778,711 is 67485276.

Find LCM of 732,778,778,711 with Prime Factorization


2 732, 778, 778, 711
3 366, 389, 389, 711
389 122, 389, 389, 237
122, 1, 1, 237

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

2 x 3 x 389 x 122 x 1 x 1 x 237 = 67485276

Therefore, the lowest common multiple of 732,778,778,711 is 67485276.

LCM Formula to Find Lowest Common Multiple of 732,778,778,711

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.

732 x 778 x 778 x 711 = 315021268368

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.

732 : 1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

778 : 1, 2, 389, 778

778 : 1, 2, 389, 778

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 732,778,778,711, is 1.

Now, the common factors can be found like this.

732:2x 2x 3x 61

778:2x 389

778:2x 389

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 3x 389 = 4668

Therefore, the value for common factors is 4668.

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 = 315021268368/(1x4668)

LCM = 315021268368/4668

LCM = 67485276

Thus, we can understand that the LCM of 732,778,778,711 is 67485276.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 732, 778, 778, 711

1. What is the LCM of 732, 778, 778, 711?

Answer: LCM of 732, 778, 778, 711 is 67485276.

2. How to calculate the LCM of 732, 778, 778, 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 732, 778, 778, 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}.