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LCM of 768, 152, 734, 767

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


Find the LCM of 768, 152, 734, 767 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 768, 152, 734, 767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 768,152,734,767

Given numbers are 768,152,734,767

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

The LCM of 768,152,734,767 is 4107487488.

Find LCM of 768,152,734,767 with Prime Factorization


2 768, 152, 734, 767
2 384, 76, 367, 767
2 192, 38, 367, 767
96, 19, 367, 767

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

2 x 2 x 2 x 96 x 19 x 367 x 767 = 4107487488

Therefore, the lowest common multiple of 768,152,734,767 is 4107487488.

LCM Formula to Find Lowest Common Multiple of 768,152,734,767

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.

768 x 152 x 734 x 767 = 65719799808

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.

768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768

152 : 1, 2, 4, 8, 19, 38, 76, 152

734 : 1, 2, 367, 734

767 : 1, 13, 59, 767

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 768,152,734,767, is 1.

Now, the common factors can be found like this.

768:2x 2x 2x 2x 2x 2x 2x 2x 3

152:2x 2x 2x 19

734:2x 367

767:13x 59

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 2 = 16

Therefore, the value for common factors is 16.

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 = 65719799808/(1x16)

LCM = 65719799808/16

LCM = 4107487488

Thus, we can understand that the LCM of 768,152,734,767 is 4107487488.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 768, 152, 734, 767

1. What is the LCM of 768, 152, 734, 767?

Answer: LCM of 768, 152, 734, 767 is 4107487488.

2. How to calculate the LCM of 768, 152, 734, 767?

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 768, 152, 734, 767.

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}.