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LCM of 139, 978, 109, 352

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


Find the LCM of 139, 978, 109, 352 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 139, 978, 109, 352. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 139,978,109,352

Given numbers are 139,978,109,352

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

The LCM of 139,978,109,352 is 2607911328.

Find LCM of 139,978,109,352 with Prime Factorization


2 139, 978, 109, 352
139, 489, 109, 176

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

2 x 139 x 489 x 109 x 176 = 2607911328

Therefore, the lowest common multiple of 139,978,109,352 is 2607911328.

LCM Formula to Find Lowest Common Multiple of 139,978,109,352

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.

139 x 978 x 109 x 352 = 5215822656

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.

139 : 1, 139

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

109 : 1, 109

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,978,109,352, is 1.

Now, the common factors can be found like this.

139:139

978:2x 3x 163

109:109

352:2x 2x 2x 2x 2x 11

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 = 5215822656/(1x2)

LCM = 5215822656/2

LCM = 2607911328

Thus, we can understand that the LCM of 139,978,109,352 is 2607911328.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 139, 978, 109, 352

1. What is the LCM of 139, 978, 109, 352?

Answer: LCM of 139, 978, 109, 352 is 2607911328.

2. How to calculate the LCM of 139, 978, 109, 352?

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 139, 978, 109, 352.

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}.