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LCM of 299, 978, 421, 746, 565

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


Find the LCM of 299, 978, 421, 746, 565 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 299, 978, 421, 746, 565. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 299,978,421,746,565

Given numbers are 299,978,421,746,565

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

The LCM of 299,978,421,746,565 is 25944745718190.

Find LCM of 299,978,421,746,565 with Prime Factorization


2 299, 978, 421, 746, 565
299, 489, 421, 373, 565

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

2 x 299 x 489 x 421 x 373 x 565 = 25944745718190

Therefore, the lowest common multiple of 299,978,421,746,565 is 25944745718190.

LCM Formula to Find Lowest Common Multiple of 299,978,421,746,565

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.

299 x 978 x 421 x 746 x 565 = 51889491436380

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.

299 : 1, 13, 23, 299

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

421 : 1, 421

746 : 1, 2, 373, 746

565 : 1, 5, 113, 565

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 299,978,421,746,565, is 1.

Now, the common factors can be found like this.

299:13x 23

978:2x 3x 163

421:421

746:2x 373

565:5x 113

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

2 = 2

Therefore, the value for common factors is 2.

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 = 51889491436380/(1x2)

LCM = 51889491436380/2

LCM = 25944745718190

Thus, we can understand that the LCM of 299,978,421,746,565 is 25944745718190.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 299, 978, 421, 746, 565

1. What is the LCM of 299, 978, 421, 746, 565?

Answer: LCM of 299, 978, 421, 746, 565 is 25944745718190.

2. How to calculate the LCM of 299, 978, 421, 746, 565?

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 299, 978, 421, 746, 565.

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}.