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LCM of 139, 274, 274, 230

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


Find the LCM of 139, 274, 274, 230 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, 274, 274, 230. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 139,274,274,230

Given numbers are 139,274,274,230

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

The LCM of 139,274,274,230 is 4379890.

Find LCM of 139,274,274,230 with Prime Factorization


2 139, 274, 274, 230
137 139, 137, 137, 115
139, 1, 1, 115

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

2 x 137 x 139 x 1 x 1 x 115 = 4379890

Therefore, the lowest common multiple of 139,274,274,230 is 4379890.

LCM Formula to Find Lowest Common Multiple of 139,274,274,230

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 274 x 274 x 230 = 2400179720

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

274 : 1, 2, 137, 274

274 : 1, 2, 137, 274

230 : 1, 2, 5, 10, 23, 46, 115, 230

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 139,274,274,230, is 1.

Now, the common factors can be found like this.

139:139

274:2x 137

274:2x 137

230:2x 5x 23

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

2x 2x 137 = 548

Therefore, the value for common factors is 548.

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 = 2400179720/(1x548)

LCM = 2400179720/548

LCM = 4379890

Thus, we can understand that the LCM of 139,274,274,230 is 4379890.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 139, 274, 274, 230

1. What is the LCM of 139, 274, 274, 230?

Answer: LCM of 139, 274, 274, 230 is 4379890.

2. How to calculate the LCM of 139, 274, 274, 230?

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, 274, 274, 230.

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}.