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LCM of 545, 648, 770, 312

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


Find the LCM of 545, 648, 770, 312 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 545, 648, 770, 312. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 545,648,770,312

Given numbers are 545,648,770,312

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

The LCM of 545,648,770,312 is 353513160.

Find LCM of 545,648,770,312 with Prime Factorization


2 545, 648, 770, 312
2 545, 324, 385, 156
2 545, 162, 385, 78
3 545, 81, 385, 39
5 545, 27, 385, 13
109, 27, 77, 13

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

2 x 2 x 2 x 3 x 5 x 109 x 27 x 77 x 13 = 353513160

Therefore, the lowest common multiple of 545,648,770,312 is 353513160.

LCM Formula to Find Lowest Common Multiple of 545,648,770,312

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.

545 x 648 x 770 x 312 = 84843158400

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.

545 : 1, 5, 109, 545

648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 545,648,770,312, is 1.

Now, the common factors can be found like this.

545:5x 109

648:2x 2x 2x 3x 3x 3x 3

770:2x 5x 7x 11

312:2x 2x 2x 3x 13

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 3x 5 = 240

Therefore, the value for common factors is 240.

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 = 84843158400/(1x240)

LCM = 84843158400/240

LCM = 353513160

Thus, we can understand that the LCM of 545,648,770,312 is 353513160.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 545, 648, 770, 312

1. What is the LCM of 545, 648, 770, 312?

Answer: LCM of 545, 648, 770, 312 is 353513160.

2. How to calculate the LCM of 545, 648, 770, 312?

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 545, 648, 770, 312.

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}.