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LCM of 349, 978, 504, 377

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


Find the LCM of 349, 978, 504, 377 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 349, 978, 504, 377. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 349,978,504,377

Given numbers are 349,978,504,377

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

The LCM of 349,978,504,377 is 10808985096.

Find LCM of 349,978,504,377 with Prime Factorization


2 349, 978, 504, 377
3 349, 489, 252, 377
349, 163, 84, 377

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

2 x 3 x 349 x 163 x 84 x 377 = 10808985096

Therefore, the lowest common multiple of 349,978,504,377 is 10808985096.

LCM Formula to Find Lowest Common Multiple of 349,978,504,377

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.

349 x 978 x 504 x 377 = 64853910576

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.

349 : 1, 349

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

377 : 1, 13, 29, 377

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 349,978,504,377, is 1.

Now, the common factors can be found like this.

349:349

978:2x 3x 163

504:2x 2x 2x 3x 3x 7

377:13x 29

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 64853910576/(1x6)

LCM = 64853910576/6

LCM = 10808985096

Thus, we can understand that the LCM of 349,978,504,377 is 10808985096.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 349, 978, 504, 377

1. What is the LCM of 349, 978, 504, 377?

Answer: LCM of 349, 978, 504, 377 is 10808985096.

2. How to calculate the LCM of 349, 978, 504, 377?

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 349, 978, 504, 377.

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}.