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LCM of 978, 770, 185, 385

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


Find the LCM of 978, 770, 185, 385 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 978, 770, 185, 385. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 978,770,185,385

Given numbers are 978,770,185,385

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

The LCM of 978,770,185,385 is 13931610.

Find LCM of 978,770,185,385 with Prime Factorization


2 978, 770, 185, 385
5 489, 385, 185, 385
7 489, 77, 37, 77
11 489, 11, 37, 11
489, 1, 37, 1

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

2 x 5 x 7 x 11 x 489 x 1 x 37 x 1 = 13931610

Therefore, the lowest common multiple of 978,770,185,385 is 13931610.

LCM Formula to Find Lowest Common Multiple of 978,770,185,385

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.

978 x 770 x 185 x 385 = 53636698500

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.

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

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

185 : 1, 5, 37, 185

385 : 1, 5, 7, 11, 35, 55, 77, 385

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 978,770,185,385, is 1.

Now, the common factors can be found like this.

978:2x 3x 163

770:2x 5x 7x 11

185:5x 37

385:5x 7x 11

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

2x 5x 5x 7x 11 = 3850

Therefore, the value for common factors is 3850.

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 = 53636698500/(1x3850)

LCM = 53636698500/3850

LCM = 13931610

Thus, we can understand that the LCM of 978,770,185,385 is 13931610.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 978, 770, 185, 385

1. What is the LCM of 978, 770, 185, 385?

Answer: LCM of 978, 770, 185, 385 is 13931610.

2. How to calculate the LCM of 978, 770, 185, 385?

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 978, 770, 185, 385.

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}.