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LCM of 925, 163, 978, 613

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


Find the LCM of 925, 163, 978, 613 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 925, 163, 978, 613. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 925,163,978,613

Given numbers are 925,163,978,613

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

The LCM of 925,163,978,613 is 554550450.

Find LCM of 925,163,978,613 with Prime Factorization


163 925, 163, 978, 613
925, 1, 6, 613

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

163 x 925 x 1 x 6 x 613 = 554550450

Therefore, the lowest common multiple of 925,163,978,613 is 554550450.

LCM Formula to Find Lowest Common Multiple of 925,163,978,613

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.

925 x 163 x 978 x 613 = 90391723350

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.

925 : 1, 5, 25, 37, 185, 925

163 : 1, 163

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

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 925,163,978,613, is 1.

Now, the common factors can be found like this.

925:5x 5x 37

163:163

978:2x 3x 163

613:613

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

163 = 163

Therefore, the value for common factors is 163.

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 = 90391723350/(1x163)

LCM = 90391723350/163

LCM = 554550450

Thus, we can understand that the LCM of 925,163,978,613 is 554550450.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 925, 163, 978, 613

1. What is the LCM of 925, 163, 978, 613?

Answer: LCM of 925, 163, 978, 613 is 554550450.

2. How to calculate the LCM of 925, 163, 978, 613?

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 925, 163, 978, 613.

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}.