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LCM of 754, 773, 652, 780, 592

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


Find the LCM of 754, 773, 652, 780, 592 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 754, 773, 652, 780, 592. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 754,773,652,780,592

Given numbers are 754,773,652,780,592

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

The LCM of 754,773,652,780,592 is 421814412240.

Find LCM of 754,773,652,780,592 with Prime Factorization


2 754, 773, 652, 780, 592
2 377, 773, 326, 390, 296
13 377, 773, 163, 195, 148
29, 773, 163, 15, 148

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

2 x 2 x 13 x 29 x 773 x 163 x 15 x 148 = 421814412240

Therefore, the lowest common multiple of 754,773,652,780,592 is 421814412240.

LCM Formula to Find Lowest Common Multiple of 754,773,652,780,592

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.

754 x 773 x 652 x 780 x 592 = 175474795491840

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.

754 : 1, 2, 13, 26, 29, 58, 377, 754

773 : 1, 773

652 : 1, 2, 4, 163, 326, 652

780 : 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

592 : 1, 2, 4, 8, 16, 37, 74, 148, 296, 592

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 754,773,652,780,592, is 1.

Now, the common factors can be found like this.

754:2x 13x 29

773:773

652:2x 2x 163

780:2x 2x 3x 5x 13

592:2x 2x 2x 2x 37

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 2x 13 = 416

Therefore, the value for common factors is 416.

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 = 175474795491840/(1x416)

LCM = 175474795491840/416

LCM = 421814412240

Thus, we can understand that the LCM of 754,773,652,780,592 is 421814412240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 754, 773, 652, 780, 592

1. What is the LCM of 754, 773, 652, 780, 592?

Answer: LCM of 754, 773, 652, 780, 592 is 421814412240.

2. How to calculate the LCM of 754, 773, 652, 780, 592?

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 754, 773, 652, 780, 592.

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}.