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LCM of 173, 361, 475, 739, 978

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


Find the LCM of 173, 361, 475, 739, 978 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 173, 361, 475, 739, 978. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 173,361,475,739,978

Given numbers are 173,361,475,739,978

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

The LCM of 173,361,475,739,978 is 1128435153150.

Find LCM of 173,361,475,739,978 with Prime Factorization


19 173, 361, 475, 739, 978
173, 19, 25, 739, 978

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

19 x 173 x 19 x 25 x 739 x 978 = 1128435153150

Therefore, the lowest common multiple of 173,361,475,739,978 is 1128435153150.

LCM Formula to Find Lowest Common Multiple of 173,361,475,739,978

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.

173 x 361 x 475 x 739 x 978 = 21440267909850

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.

173 : 1, 173

361 : 1, 19, 361

475 : 1, 5, 19, 25, 95, 475

739 : 1, 739

978 : 1, 2, 3, 6, 163, 326, 489, 978

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 173,361,475,739,978, is 1.

Now, the common factors can be found like this.

173:173

361:19x 19

475:5x 5x 19

739:739

978:2x 3x 163

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

19 = 19

Therefore, the value for common factors is 19.

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 = 21440267909850/(1x19)

LCM = 21440267909850/19

LCM = 1128435153150

Thus, we can understand that the LCM of 173,361,475,739,978 is 1128435153150.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 173, 361, 475, 739, 978

1. What is the LCM of 173, 361, 475, 739, 978?

Answer: LCM of 173, 361, 475, 739, 978 is 1128435153150.

2. How to calculate the LCM of 173, 361, 475, 739, 978?

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 173, 361, 475, 739, 978.

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}.