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LCM of 765, 744, 202, 554, 772

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


Find the LCM of 765, 744, 202, 554, 772 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 765, 744, 202, 554, 772. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 765,744,202,554,772

Given numbers are 765,744,202,554,772

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

The LCM of 765,744,202,554,772 is 1024404712920.

Find LCM of 765,744,202,554,772 with Prime Factorization


2 765, 744, 202, 554, 772
2 765, 372, 101, 277, 386
3 765, 186, 101, 277, 193
255, 62, 101, 277, 193

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

2 x 2 x 3 x 255 x 62 x 101 x 277 x 193 = 1024404712920

Therefore, the lowest common multiple of 765,744,202,554,772 is 1024404712920.

LCM Formula to Find Lowest Common Multiple of 765,744,202,554,772

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.

765 x 744 x 202 x 554 x 772 = 49171426220160

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.

765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

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

202 : 1, 2, 101, 202

554 : 1, 2, 277, 554

772 : 1, 2, 4, 193, 386, 772

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 765,744,202,554,772, is 1.

Now, the common factors can be found like this.

765:3x 3x 5x 17

744:2x 2x 2x 3x 31

202:2x 101

554:2x 277

772:2x 2x 193

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 3 = 48

Therefore, the value for common factors is 48.

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 = 49171426220160/(1x48)

LCM = 49171426220160/48

LCM = 1024404712920

Thus, we can understand that the LCM of 765,744,202,554,772 is 1024404712920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 765, 744, 202, 554, 772

1. What is the LCM of 765, 744, 202, 554, 772?

Answer: LCM of 765, 744, 202, 554, 772 is 1024404712920.

2. How to calculate the LCM of 765, 744, 202, 554, 772?

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 765, 744, 202, 554, 772.

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}.