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LCM of 912, 775, 744, 711

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


Find the LCM of 912, 775, 744, 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 912, 775, 744, 711. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 912,775,744,711

Given numbers are 912,775,744,711

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

The LCM of 912,775,744,711 is 167511600.

Find LCM of 912,775,744,711 with Prime Factorization


2 912, 775, 744, 711
2 456, 775, 372, 711
2 228, 775, 186, 711
3 114, 775, 93, 711
31 38, 775, 31, 237
38, 25, 1, 237

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

2 x 2 x 2 x 3 x 31 x 38 x 25 x 1 x 237 = 167511600

Therefore, the lowest common multiple of 912,775,744,711 is 167511600.

LCM Formula to Find Lowest Common Multiple of 912,775,744,711

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.

912 x 775 x 744 x 711 = 373885891200

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.

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

775 : 1, 5, 25, 31, 155, 775

744 : 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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 912,775,744,711, is 1.

Now, the common factors can be found like this.

912:2x 2x 2x 2x 3x 19

775:5x 5x 31

744:2x 2x 2x 3x 31

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 3x 31 = 2232

Therefore, the value for common factors is 2232.

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 = 373885891200/(1x2232)

LCM = 373885891200/2232

LCM = 167511600

Thus, we can understand that the LCM of 912,775,744,711 is 167511600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 912, 775, 744, 711

1. What is the LCM of 912, 775, 744, 711?

Answer: LCM of 912, 775, 744, 711 is 167511600.

2. How to calculate the LCM of 912, 775, 744, 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 912, 775, 744, 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}.