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LCM of 625, 326, 499, 978, 159

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


Find the LCM of 625, 326, 499, 978, 159 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 625, 326, 499, 978, 159. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 625,326,499,978,159

Given numbers are 625,326,499,978,159

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

The LCM of 625,326,499,978,159 is 16165728750.

Find LCM of 625,326,499,978,159 with Prime Factorization


2 625, 326, 499, 978, 159
3 625, 163, 499, 489, 159
163 625, 163, 499, 163, 53
625, 1, 499, 1, 53

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

2 x 3 x 163 x 625 x 1 x 499 x 1 x 53 = 16165728750

Therefore, the lowest common multiple of 625,326,499,978,159 is 16165728750.

LCM Formula to Find Lowest Common Multiple of 625,326,499,978,159

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.

625 x 326 x 499 x 978 x 159 = 15810082717500

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.

625 : 1, 5, 25, 125, 625

326 : 1, 2, 163, 326

499 : 1, 499

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

159 : 1, 3, 53, 159

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 625,326,499,978,159, is 1.

Now, the common factors can be found like this.

625:5x 5x 5x 5

326:2x 163

499:499

978:2x 3x 163

159:3x 53

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

2x 3x 163 = 978

Therefore, the value for common factors is 978.

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 = 15810082717500/(1x978)

LCM = 15810082717500/978

LCM = 16165728750

Thus, we can understand that the LCM of 625,326,499,978,159 is 16165728750.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 625, 326, 499, 978, 159

1. What is the LCM of 625, 326, 499, 978, 159?

Answer: LCM of 625, 326, 499, 978, 159 is 16165728750.

2. How to calculate the LCM of 625, 326, 499, 978, 159?

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 625, 326, 499, 978, 159.

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}.